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in Lines and Angles by (47.3k points)
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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°

1 Answer

+1 vote
by (49.8k points)
selected by
 
Best answer

(B) 52 ½o

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.

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