If <1 and <2 form a linear pair and m<1 is 18 degrees less than five times the measures of <2, find m<1

Question

I don't know how to solve it so please help.

Answer 1

Summary the information:

<1 + <2 = 180° (linear line)

<1 - 18° = 5*(<2)

Find angle <1?

Solve:

Replace angle <1 = 5*(<2) + 18° into the first equation <1 + <2 = 180° to be

5*(<2) + 18° + (<2) = 180°

=» 6*(<2) = 162°

=»        <2 = 27°

Find angle m<1 by replace <2 = 27°

<1 + <2 = 180°

<1 + 27° = 180°

<1 = 153°

The angle of m<1 is 153° degree