An exterior angle of a triangle is 105° and its two interior opposite

1.	An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is(a) 37 ½°(b) 52 ½°(c)72 ½°(d) 75°
Answer» (B) 52 ½^o Explanation: According to the question, Exterior angle of triangle= 105° Let the two interior opposite angles of the triangle = x We know that, Exterior angle of a triangle = sum of interior opposite angles Then, we have the equation, 105° = x + x 2x = 105° x = 52.5° x = 52½ Therefore, option (B) is the correct answer.

An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is(a) 37 ½°(b) 52 ½°(c)72 ½°(d) 75°

Answer»

(B) 52 ½^o

Explanation:

According to the question,

Exterior angle of triangle= 105°

Let the two interior opposite angles of the triangle = x

We know that,

Exterior angle of a triangle = sum of interior opposite angles

Then, we have the equation,

105° = x + x

2x = 105°

x = 52.5°

x = 52½

Therefore, option (B) is the correct answer.