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Find the missing angle measure of the following figure​

Find the missing angle measure of the following figure​-example-1
User Jarnaez
by
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1 Answer

7 votes

Answer:

Explanation:

By triangle sum theorem,

73°+ 39° + m∠1 = 180°

m∠1 = 180° - 102°

m∠1 = 78°

Since, m∠1 = m∠2 [Vertically opposite angles]

m∠2 = 78°

Sum of interior angles of a polygon = (n - 2)×180°

Where n = number of sides of the polygon

Sum of the interior angles of a quadrilateral = (4 - 2)×180°

= 360°

Therefore, 77° + m∠3 + 90° + m∠2 = 360°

77° + m∠3 + 90° + 78° = 360°

m∠3 = 360° - 245°

m∠3 = 115°

User WHol
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