SianaL683421 SianaL683421
  • 25-10-2022
  • Mathematics
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What is the answer to m

What is the answer to m class=

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ShaleighJ673955 ShaleighJ673955
  • 25-10-2022

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

[tex]\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}[/tex]

so

[tex]\begin{gathered} a+5+a-25=180 \\ 2a-20=180 \\ 2a-20+20=180+20 \\ 2a=200 \\ \frac{2a}{2}=\frac{200}{2} \\ a=100 \end{gathered}[/tex]

mm

mm

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