In the given figure, $BO$ and $CO$ are bisectors of $\angle\text{B}$ and $\angle\text{C}$ respectively. If $\angle\text{A}=50^\circ$ then $\angle\text{BOC}=?$
- A$130^\circ$
- B$100^\circ$
- ✓$115^\circ$
- D$120^\circ$
Answer: C.
View full solution →Question types
Triangles question types
47 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
47
Questions
5
Question groups
5
Question types
01
M.C.Q
12 Q→022 Marks Questions
10 Q→033 Marks Question
14 Q→045 Marks Questions
3 Q→054 Marks Questions
8 Q→Sample Questions
Triangles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In a $\triangle\text{ABC},$ if $3\angle\text{A}=4\angle\text{B}=6\angle\text{C}$ then $A : B : C =?$
- A$3 : 4 : 6$
- ✓$4 : 3 : 2$
- C$2 : 3 : 4$
- D$6 : 4 : 3$
Answer: B.
View full solution →The side $BC, CA$ and $AB$ of $\triangle\text{ABC}$ have been produced to $D, E$ and $F$ respectively. $\angle\text{BAE}+\angle\text{CBF}+\angle\text{ACD}=?$
- A$240^\circ$
- B$300^\circ$
- C$320^\circ$
- ✓$360^\circ$
Answer: D.
View full solution →In a $\triangle\text{ABC},$ if $\angle\text{A}-\angle\text{B}=42^\circ$ and $\angle\text{B}-\angle\text{C}=21^\circ$ then $\angle\text{B}=?$
- A$32^\circ$
- B$63^\circ$
- ✓$53^\circ$
- D$95^\circ$
Answer: C.
View full solution →In the given figure, the side $CB$ and $BA$ of $\triangle\text{ABC}$ have been produced to $D$ and $E$ respectively such that $\angle\text{ABD}=110^\circ$ and $\angle\text{CAE}=135^\circ.$ Then, $\angle\text{ACB}=?$
- ✓$65^\circ$
- B$45^\circ$
- C$55^\circ$
- D$35^\circ$
Answer: A.
View full solution →Calculate the value of $x$ in the following figures.
View full solution →In the given figure, side $BC$ of $\triangle\text{ABC}$ is produced to $D$. If $\angle\text{ACD}=128^\circ$ and $\angle\text{ABC}=43^\circ,$ find $\angle\text{BAC}$ and $\angle\text{ACB}.$
View full solution →In $\triangle\text{ABC},$ if $\angle\text{B}=76^\circ$ and $\angle\text{C}=48^\circ,$ find $\angle\text{A}.$
View full solution →If each angle of a triangle is less than the sum of the other two, show that the triangle is acute-angled.
In the given figure, $AB \| CD$ and $\text{EF}\perp\text{AB}.$ If EG is the transversal such that $\angle\text{GED}=130^\circ,$ find $\angle\text{EGF}.$
View full solution →Two angle of a triangle are equal and the third angle is greater than each one of them by $18^\circ.$ Find the angles.
View full solution →In a right-angled triangle, one of the acute angles measures $53º$. Find the measure of each angle of the triangle.
View full solution →In the given figure, $BAD\ ||\ EF$, $\angle\text{AEF}=55^\circ$ and $\angle\text{ACB}=25^\circ,$ find $\angle\text{ABC}.$ 
View full solution →In the given figure, $AB\ ||\ CD$ and $EF$ is a transversal. If $\angle\text{AEF}=65^\circ,\angle\text{DFG}=30^\circ,\angle\text{EFG}=90^\circ$ and $\angle\text{GEF}=\text{x}^\circ,$ find the value of $x$.
View full solution →Of the three angles of a triangle, one is twice the smallest and another one is thrice the smallest. Find the angles.
Calculate the value of $x$ in the given figure.
View full solution →In $\triangle\text{ABC},$ if $3\angle\text{A}=4\angle\text{B}=6\angle\text{C},$ calculate $\angle\text{A},\angle\text{B}$ and $\angle\text{C}.$
View full solution →In the given figure, $AD$ divides $\angle\text{BAC}$ in the ratio $1 : 3$ and $AB = DB$. Determine the value of $x$.
View full solution →In $\triangle\text{PQR},$ if $\angle\text{P}-\angle\text{Q}=42^\circ$ and $\angle\text{Q}+\angle\text{R}=21^\circ,$ find $\angle\text{P},\angle\text{Q}$ and $\angle\text{R}.$
View full solution →In a $\triangle\text{ABC},$ it is given that $\angle\text{A}:\angle\text{B}:\angle\text{C}=3:2:1$ and $\text{CD}\perp\text{AC}.$ Find $\angle\text{ECD}.$ 
View full solution →Calculate the value of $x$ in the following figures.
View full solution →In the figure given alongside, $AB || CD, EF || BC$, $\angle\text{BAC}=60^\circ$ and $\angle\text{DHE}=50^\circ.$ Find $\angle\text{GCH}$ and $\angle\text{AGH}.$ 
View full solution →If the sides of a triangle are produced in order, prove that the sum of the exterior angles so formed is equal to four right angles. 
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