Question

Given quadrilateral ABCD is a parrallelogram if the measure of angle D is 72 degrees what is the measure of angle C?

Answer 1

Properties of parallelograms

0. Opposite sides are congruent (AB = DC).

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1. Opposite angels are congruent (D = B).

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2. Consecutive angles are supplementary, (A + D = 180°).

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3. If one angle is right, then all angles are right.

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4. The diagonals of a parallelogram bisect each other.

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5. Each diagonal of a parallelogram separates it into two congruent triangles.

Procedure

Consecutive angles

`\begin{gathered} D+C=180 \\ C=180-D \\ C=180-72 \\ C=108 \end{gathered}`