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*17-13=119-13=106\textdegree`

∠mac =
`3*17+13=51+13=64\textdegree`

Step-by-step 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=(170)/(10)\\x=17\textdegree`

So, ∠map =
`7*17-13=119-13=106\textdegree`

and ∠mac =
`3*17+13=51+13=64\textdegree`