Question

The exterior angle of a triangle is 130°. If one of its opposite interior angle is 90°. Find the other interior angle?

Answer 1

Answer:

40 Degree

Step-by-step explanation

In triangle ABC:-

Angle A is x

angle B is 90

The exterior angle of c is 130

Interior angle of angle c = 180 - 130 = 50

A + B + C = 180 - Angle sum property

X + 90 + 50 = 180

X + 140 = 180

X = 40

Therefore the other interior angle = 40 Degree

Answer 2

We have the property of exterior and interior angles,

The Exterior angle is equal to the sum of interior opposite angles.

From triangle, ABC is the figure above,

∠ACD=∠ABC+∠BAC

Let, ∠ABC=90°

 ∠ACD=130°  

 ∴130°  =90°  +∠BAC

∠BAC=130  −90° =40°

Hence, 40° is the other angle.