Question

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

Answer 1

Answer : ∠map = $7\times17-13=119-13=106\textdegree$

∠mac = $3\times17+13=51+13=64\textdegree$

Explanation:

Since we have given that

∠map and ∠mac are linear pairs

So their sum wiil be supplementary

i.e. ∠map+∠mac= $180\textdegree$;

$7x-3+3x+13=180\textdegree\\10x+10=180\textdegree\\10x=180\textdegree-10\textdegree\\10x=170\textdegree\\x=\frac{170}{10}\\x=17\textdegree$

So, ∠map = $7\times17-13=119-13=106\textdegree$

and ∠mac = $3\times17+13=51+13=64\textdegree$