Question

An exterior angle of a triangle is 105° and one of its interior opposite angle is double of the
other interior opposite angle, then the smaller interior opposite angle is
​

Answer 1

Answer:

Exterior angle of a triangle = sum of two interior opposite angles. ... Two interior opposite angles are equal. Hence , the angles are 52.5°.

Answer 2

Answer:

35°

Step-by-step explanation:

Given,

exterior angle = 105°

bigger interior angle is double the smaller interior angle

Since, sum of two interior angles = exterior angle

exterior angle = 105°

After doing a mind calculation,

Smaller interior angle = 35°

As, 35°×2 = 70°

35°+70° = 105°

Hope it helps you