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If m angle B=m angle D=41, find m angle C so that quadrilateral ABCD is a parallelogram

If m angle B=m angle D=41, find m angle C so that quadrilateral ABCD is a parallelogram-example-1

2 Answers

1 vote

Answer:

193

Explanation:

User Muzamil Abbas
by
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2 votes

ANSWER

139°

EXPLANATION

One of the interior angle properties of a parallelogram is that adjacent interior angles are supplementary.

This means that, the adjacent interior angles add up to 180°.

If


m \angle \: B = m \angle \: D = 41

Then


m \angle \: C + m \angle \: D = 180 \degree

OR


m \angle \: B + m \angle \:C= 180 \degree


\implies41 \degree + m \angle \:C= 180 \degree


\implies m\angle \:C= 180 \degree - 41 \degree = 139 \degree

User Colonel Sponsz
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