Question

If one angle of a triangle is equal to the sum of other two, show that the triangle is a right triangle.
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Answer 1

Step-by-step explanation:

✍ ....

We Know ThaT .... Sum Of All Angles in Triangle is equal to 180°

A+B+C = 180°

Given That, A= B+C

So, 2A = 180°

A = 90°

, Hence, This triangle is A Right Angel Triangle......!

Answer 2

$\bold {\pink{\green {\sf\underline{Step\:by\:step\:explanation:-{\boxed {}}}}}}$

The sum of all angles in triangle is equal to 180°

$\blue{A+B+C} \blue = \blue{180°}$

$⟹ {Given} , {A=B+C}$

$⟹\blue {So,2A}\blue = \blue{180°}$

$⟹ \red{A} \red=\red {90°}$

Hence Triangle A, is Right Angled Triangle.