Question

Find the measures of the numbered angles for each parallelogram. (See attachment)

Answer 1

<2 = 180 - 82 = 98

<3 = 50

<1 = 180- ( 98 + 50)
<1 = 180 -148
<1 = 32

answer:
 <1 = 32
<2 = 98
<3 = 50

Answer 2

Since the figure is a parallelogram, angle 3 is an alternate interior angle with the 50 deg. angle. Hence, m<3 = 50 deg. Angle 2 is supplementary with 82 deg. angle, therefore m<2 = 180 deg - 82 deg = 98 deg. Using angles 2 and 3, angle 1 can be calculated since the total interior angle of a triangle is 180 deg. m<1 = 180 - 98 - 50 = 32 deg.
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