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Angle map and angle mac are linear pairs ,m of angle map=7x-13 and m of angle Mac =3x+13 how do u determine m of angle map

Respuesta :

Answer : ∠map = [tex]7\times17-13=119-13=106\textdegree[/tex]

∠mac = [tex]3\times17+13=51+13=64\textdegree[/tex]

Explanation:

Since we have given that

∠map and ∠mac are linear pairs

So their sum wiil be supplementary

i.e. ∠map+∠mac= [tex]180\textdegree[/tex];

[tex]7x-3+3x+13=180\textdegree\\10x+10=180\textdegree\\10x=180\textdegree-10\textdegree\\10x=170\textdegree\\x=\frac{170}{10}\\x=17\textdegree[/tex]

So, ∠map = [tex]7\times17-13=119-13=106\textdegree[/tex]

and ∠mac = [tex]3\times17+13=51+13=64\textdegree[/tex]

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