Question 13 Marks
In the figure $A B \| C D$. Find the unknown angles, giving reasons.
Answer
View full question & answer→$\angle x=50^{\circ}, \angle z=130^{\circ}, \angle y=120^{\circ}, \angle t=120^{\circ}$
Questions
[3 marks sum]
🎯
Test yourself on this topic
25 questions · timed · auto-graded
Question 23 Marks
In the figure $A B \| C D$. Find the unknown angles, giving reasons.
Answer
View full question & answer→$\angle x=80^{\circ}, \angle y=120^{\circ}, \angle z=60^{\circ}, \angle t=80^{\circ}$
Question 33 Marks
In the given figure, $AB \| CD$. If $\angle BAC =(3 x+15)^{\circ}$ and $\angle ACD =(2 x+45)^{\circ}$, find the value of $x$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Answer
View full question & answer→$x=70, \quad y=110, \quad z=110$
Question 43 Marks
In the given figure, $AB \| CD$. If $\angle BAC =(3 x+15)^{\circ}$ and $\angle ACD =(2 x+45)^{\circ}$, find the value of $x$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Answer
View full question & answer→$x=20$
Question 53 Marks
In the given figure, $AB \| CD$. If $\angle BAC =(3 x+15)^{\circ}$ and $\angle ACD =(2 x+45)^{\circ}$, find the value of $x$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Answer
View full question & answer→$x=24, \angle BAC =87^{\circ}, \angle ACD =93^{\circ}$
Question 63 Marks
In the given figure, $AB \| CD$ and EF is a transversal. If $\angle 8=110^{\circ}$, find each one of the unknown angles, marked in the figure. Give reasons.
Answer
View full question & answer→$\angle 5=110^{\circ}, \angle 6=70^{\circ}, \angle 7=70^{\circ}, \angle 1=110^{\circ}, \angle 2=70^{\circ}, \angle 3=70^{\circ}, \angle 4=110^{\circ}$
Question 73 Marks
In the given figure, $l \| m$ and $p \| q$. Find the angles $x, y$ and $z$.
Answer
View full question & answer→$\angle z=100^{\circ}, \angle y=80^{\circ}, \angle x=100^{\circ}$
Question 83 Marks
In the given figure, $AB \| CD$. Find the angles $x, y$ and $z$.
Answer
View full question & answer→$\angle x=60^{\circ}, \angle y=40^{\circ}, \angle z=100^{\circ}$
Question 93 Marks
In the given figure, $l \| m$ and $p \| q$. Find the angles $x, y, z$ and $t$.
Answer
View full question & answer→$\angle x=50^{\circ}, \angle y=40^{\circ}, \angle z=50^{\circ}, \angle t=130^{\circ}$
Question 103 Marks
In the given figure, $l\|m\| n$ and $p\|q\| r$.Find the angles $x, y, z$ and $t$.
Answer
View full question & answer→$\angle x=80^{\circ}, \angle t=100^{\circ}, \angle y=80^{\circ}, \angle z=80^{\circ}$
Question 113 Marks
In the given figure, $A B\|C D\| E F$ and $A D \| B E$. Find $x, y$ and $z$.
Answer
View full question & answer→$\angle x=35^{\circ}, \angle y=115^{\circ}, \angle z=65^{\circ}$
Question 123 Marks
In the given figure, $AB \| CD \| EF$. Find $x, y$ and $z$.
Answer
View full question & answer→$\angle x=140^{\circ}, \angle y=100^{\circ}, \angle z=80^{\circ}$
Question 133 Marks
In the given figure $l \| m$ and $p \| q$. Find the angles $x, y, z$.
Answer
View full question & answer→$\angle x=70^{\circ}, \angle z=110^{\circ}, \angle y=70^{\circ}$
Question 143 Marks
In the given figure, find the value of $x$. What is the measure of $\angle COD$ ?
Answer
View full question & answer→$x=35, \angle COD =125^{\circ}$
Question 153 Marks
In the given figure, find the measure of each of the angles $\angle DOE$ and $\angle EOA$.
Answer
View full question & answer→$\angle DOE =18^{\circ}$ and $\angle EOA =54^{\circ}$
Question 163 Marks
In the given figure, find the measure of each of the angles $\angle AOB$, $\angle BOC , \angle COD$ and $\angle DOA$.
Answer
View full question & answer→$\angle AOB =36^{\circ}$,$\angle BOC =72^{\circ}, \angle COD =108^{\circ}$ and $\angle DOA =144^{\circ}$
Question 173 Marks
In the given figure, find the value of $x$.
Answer
View full question & answer→$x=80$
Question 183 Marks
In the given figure, AOB is a straight line. If $\angle BOC , \angle COD$ and $\angle DOA$ be in the ratio $2: 3: 4$, find the measure of each of these angles.
Answer
View full question & answer→$\angle BOC =40^{\circ}, \angle COD =60^{\circ}$ and $\angle DOA =80^{\circ}$
Question 193 Marks
In the given figure BC is produced on both sides to points D and E respectively. Find the values of $x$ and $y$.
Answer
View full question & answer→$x=65, y=48$
Question 203 Marks
In the given figure, PQR is a straight line. Find the value of $x$.
Answer
View full question & answer→$x=65$
Question 213 Marks
In the given figure, XOY is a straight line. Find
(i) $\angle XOP$
(ii) $\angle YOP$
(i) $\angle XOP$
(ii) $\angle YOP$
Answer
View full question & answer→(i) $\angle XOP =50^{\circ}$ (ii) $\angle YOP =130^{\circ}$
Question 223 Marks
In the given figure, the lines $AB , CD$ and EF intersect at a point O . If $\angle BOD =x^{\circ}, \angle AOE =2 x^{\circ}$ and $\angle COF =90^{\circ}$, find $\angle AOE$ and $\angle AOC$.
Answer
View full question & answer→$\angle AOE =60^{\circ}$ and $\angle AOC =30^{\circ}$
Question 233 Marks
In the given figure, two lines AB and CD intersect at a point O . If $\angle AOC +\angle BOD =70^{\circ}$, find the measure of $\angle AOD$.
Answer
View full question & answer→$\angle AOD =145^{\circ}$
Question 243 Marks
In the given figure, two straight lines AB and CD intersect at a point O . If $\angle BOD =40^{\circ}$, find the measure of each of the angles, $\angle BOC , \angle AOC$ and $\angle AOD$.
Answer
View full question & answer→$\angle BOC =140^{\circ}, \angle AOC =40^{\circ}, \angle AOD =140^{\circ}$
Question 253 Marks
In the given figure, AOB is a straight line. Find the measure of $\angle A O C$.
Answer
View full question & answer→$135^{\circ}$