3 years ago

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

Mathematics

2 answers:

Charra [1.4K]3 years ago

8 0

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°.

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

Then

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

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

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

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

lyudmila [28]3 years ago

3 0

Answer:

193

Step-by-step explanation:

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