If one angle of a triangle is equal to the su | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the angles of $	riangle ABC$ be $\angle A, \angle B,$ and $\angle C$.Given that $\angle A = \angle B + \angle C$ ...... $(1)$In any $	riangl

Vedclass · Accepted Answer

a right triangle

Vedclass · Answer

(C) Let the angles of $	riangle ABC$ be $\angle A, \angle B,$ and $\angle C$.Given that $\angle A = \angle B + \angle C$ ...... $(1)$In any $	riangle ABC$,the sum of all interior angles is $180^{\circ}$,so $\angle A + \angle B + \angle C = 180^{\circ}$ ...... $(2)$[Angle sum property of a triangle]Substituting equation $(1)$ into equation $(2)$,we get:$\angle A + (\angle B + \angle C) = 180^{\circ}$$\angle A + \angle A = 180^{\circ}$$2\angle A = 180^{\circ}$$\angle A = 90^{\circ}$Since one angle is $90^{\circ}$,the triangle is a right triangle.

If one angle of a triangle is equal to the sum of the other two angles,then the triangle is

Similar Questions

In the following figure,$\angle DBC = 70^{\circ}$ and ray $BP$ is the bisector of $\angle DBA$. Find $\angle PBC$ and reflex $\angle PBD$.

The sum of the three angles of a triangle is $\ldots \ldots \ldots$ (in $^o$)

$\angle ACD$ is an exterior angle of $\Delta ABC$. The bisector of $\angle ABC$ and exterior $\angle ACD$ intersect each other at point $E$. Prove that,$\angle BEC = \frac{1}{2} \angle BAC$.

$\angle A$ and $\angle B$ are supplementary angles. If $\angle A = 3x - 10^{\circ}$ and $\angle B = 2x + 30^{\circ}$,then find $\angle A$ and $\angle B$.

State whether each of the following statements is true or false:
$(1)$ The maximum number of right angles in any triangle is two.
$(2)$ The supplementary angle of the complementary angle of an angle having measure $33^{\circ}$ has measure $123^{\circ}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module