Question

Find the measure of 'x' in the given figure.
fig. 11.9
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Answer 1

Answer:

∠x = 110°

Given:

• Exterior angles of a polygon: 100°, 65°, 45°, 40° and x.

To Find:

• Measure of ∠x

Solution:

Sum of all the exterior angle of any polygon is 360°

⟹ 100° + 65° + 45° + 40° + x = 360°

⟹ 250° + x = 360°

⟹ x = 360° - 250°

⟹ x = 110°

Measure of x is 110°

Answer 2

Answer:

Answer is 110°

Step-by-step explanation:

$100 + 65 + 45 + 40 + x = 360 \\ 250 + x = 360 \\ x = 360 - 250 \\ x = 110$

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