Question

if one angle of a triangle is equal to the sum of other two show that the tringale is a right triangle​

Answer 1

Step-by-step explanation:

In △ABC,

∠A=∠B+∠C

Now, sum of angles = 180

∠A+∠B+∠C=180

∠A+∠A=180

∠A=90

∘

Thus, △ABC, is a right angled triangle.

hence proved

Answer 2

Answer:

Angle C = 90°

Step-by-step explanation:

Given :-

One angle = Sum of other two angles

To prove :-

It is a right-angled triangle

Solution:-

Let,

1st angle = Angle A

2nd angle = Angle B

3rd angle = Angle C

Angle A+Angle B+Angle C -- Given

We know that,

Angle A + Angle B + Angle C = 180°

Angle C + (Angle A + Angle B) = 180°

Angle C + Angle C = 180°

2AngleC = 180°

Angle C = 180/2

Angle C = 90°

Angle C = 90°, Therefore the triangle is right-angled.