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What does interior angle A of the polygon in the figure equal?

A. 110
B. 150
C. 230
D. 100

What does interior angle A of the polygon in the figure equal? A. 110 B. 150 C. 230 D-example-1
User Tomzx
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1 Answer

6 votes
STEP-BY-STEP SOLUTION:

First of all, let's establish the angle sum of the shape as displayed below;

Angle sum of a polygon = 180° × no. of triangles in polygon = 180° × 4 = 720°

Now, let's simply subtract the values of all the other angles from the angle sum in order to find the value of angle ( A ) as displayed below:

A + 120 + 110 + 230 + 50 + 100 = 720

A = 720 - 120 - 110 - 230 - 50 - 100

A = 110°

Therefore, the answer is:

Option A - 110°
User Hooting
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