For the parallelogram, if m<2=4x-17 and m<4=3x-8, find m<1.

D. 161°

Step-by-step explanation:

m<2 is congruent to m<4, m<1 is congruent to m<3 by properties of a parallelogram

to find x:

4x-17=3x-8

x-17=-8

x=9

m<4=3(9)-8=19

so, m<4=19°

m<2 =19°

to find m<1:

the interior angles of a parallelogram add up to 360°

360-2(19)=2x

2x=360-38

2x=322

x=161°

m<1=161°