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