Question 513 Marks
The exterior angles, obtained on producing the base of a triangle both ways are $104^{\circ}$ and $136^{\circ}$. Find all the angles of the triangle.
Answer
View full question & answer→$60^{\circ}, 76^{\circ}, 44^{\circ}$
Questions · Page 2 of 2
3 Marks Question
Question 523 Marks
In Fig., two of the angles are indicated. What are the measures of $\angle A C X$ and $\angle A C B$ ?
Answer
View full question & answer→$\angle A C X=105^{\circ}, \angle A C B=75^{\circ}$
Question 533 Marks
$A B C$ is a triangle in which $\angle B=\angle C$ and ray $A X$ bisects the exterior angle $D A C$. If $\angle D A X=70^{\circ}$, find $\angle A C B$.
Answer
View full question & answer→$70^{\circ}$
Question 543 Marks
In Fig. measures of some angles are indicated. Find the value of $x$.
Answer
View full question & answer→$150^{\circ}$
Question 553 Marks
In Fig., $\angle C B X$ is an exterior angle of $\triangle A B C$ at $B$. Name:
(i) the interior adjacent angle
(ii) the interior opposite angles to exterior $\angle C B X$.
Also, ame the interior opposite angles to an exterior angle at $A$.
(i) the interior adjacent angle
(ii) the interior opposite angles to exterior $\angle C B X$.
Also, ame the interior opposite angles to an exterior angle at $A$.
Answer
View full question & answer→(i) $\angle A B C$
(ii) $\angle B A C, \angle A C B ; \angle A B C, \angle A C B$
(ii) $\angle B A C, \angle A C B ; \angle A B C, \angle A C B$
Question 563 Marks
Two angles of a triangle are equal and the third angle is greater than each of those angles by $30^{\circ}$. Determine all the angles of the triangle.
Answer
View full question & answer→$50^{\circ}, 50^{\circ}, 80^{\circ}$
Question 573 Marks
The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is $10^{\circ}$, find the three angles.
Answer
View full question & answer→$50^{\circ}, 60^{\circ}, 70^{\circ}$
Question 583 Marks
The angles of a triangle are $(x-40)^{\circ},(x-20)^{\circ}$ and $\left(\frac{1}{2} x-10\right)^{\circ}$. Find the value of $x$.
Answer
View full question & answer→$100^{\circ}$
Question 593 Marks
In Fig., $\triangle A B C$ is right angled at $A . Q$ and $R$ are points on line $B C$ and $P$ is a point such that $Q P \| A C$ and $R P \| A B$. Find $\angle P$.
Answer
View full question & answer→$90^{\circ}$
Question 603 Marks
Line segments $A B$ and $C D$ intersect at $O$ such that $A C \| D B$. If $\angle C A B=35^{\circ}$ and $\angle C D B=55^{\circ}$, find $\angle B O D$.
Answer
View full question & answer→$90^{\circ}$
Question 613 Marks
In $\triangle A B C, \angle B=60^{\circ}, \angle C=40^{\circ}, A L \perp B C$ and $A D$ bisects $\angle A$ such that $L$ and $D$ lie on side $B C$. Find $\angle L A D$.
Answer
View full question & answer→$10^{\circ}$
Question 623 Marks
In $\triangle A B C, \angle A=50^{\circ}$ and $B C$ is produced to a point $D$. The bisectors of $\angle A B C$ and $\angle A C D$ meet at $E$. Find $\angle E$.
Answer
View full question & answer→$25^{\circ}$
Question 633 Marks
The bisectors of the acute angles of a right triangle meet at $O$. Find the angle at $O$ between the two bisectors.
Answer
View full question & answer→$135^{\circ}$
Question 643 Marks
In $\triangle A B C, \angle A=100^{\circ}, A D$ bisects $\angle A$ and $A D \perp B C$. Find $\angle B$.
Answer
View full question & answer→$40^{\circ}$
Question 653 Marks
In a $\triangle A B C$, if $3 \angle A=4 \angle B=6 \angle C$, calculate the angles.
Answer
View full question & answer→$80^{\circ}, 60^{\circ}, 40^{\circ}$
Question 663 Marks
If one angle of a triangle is $100^{\circ}$ and the other two angles are in the ratio $2: 3$, find the angles.
Answer
View full question & answer→$32^{\circ}, 48^{\circ}$
Question 673 Marks
If one angle of a triangle is $60^{\circ}$ and the other two angles are in the ratio $1: 2$, find the angles.
Answer
View full question & answer→$40^{\circ}, 80^{\circ}$
Question 683 Marks
One angle of a triangle is greater than the sum of the other two. What can you say about the measure of this angle? What type of a triangle is this?
Answer
View full question & answer→More than $90^{\circ}$, Obtuse triangle
Question 693 Marks
What is the difference between a triangle and triangular region?
Answer
View full question & answer→self
Question 703 Marks
Distinguish between a triangle and its triangular region.
Answer
View full question & answer→self