What is the answer to m

Jaymon asked Mar 8, 2023

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Jaymon asked Mar 8, 2023

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16 votes

the sum of the internal angles of a quadrilateral is 360, therefore:

$\begin{gathered} m\angle A+m\angle B+m\angle C+m\angle D=360 \\ \text{and} \\ m\angle A+m\angle C=180 \\ m\angle B+m\angle D=180 \end{gathered}$

$\begin{gathered} a+5+a-25=180 \\ 2a-20=180 \\ 2a-20+20=180+20 \\ 2a=200 \\ (2a)/(2)=(200)/(2) \\ a=100 \end{gathered}$

Aviss answered Mar 13, 2023

by Aviss

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