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What is the measure of a

What is the measure of a-example-1

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Answer:

Measure of Angle A is 100°

Explanation:

The sum of interior angles of a polygon is given by the formula :

(n-2)×180 (where n is the number of sides)

n = 6

(6-2)×180 =

4 × 180 = 720

So :

A + B + C + D + E + F = 720

Substitute values given in diagram (angle d is 90 as the little square indicates a right angle) (Calling angle a as x) :

x + 135 + 115 + 90 + 110 + 170 = 720

Simplify :

x + 620 = 720

Subtract 620 from both sides :

x = 720 - 620

x = 100

Measure of Angle A is 100°

Hope this helped and have a good day

User Andrew Torr
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