The measures of two adjacent angles of a parallelogram are in the ratio of 3:2. Find the measures of each of the angles
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Answered by
4
Step-by-step explanation:
Let the ratios be x
thus
2x + 3x = 180 (co interior)
5x = 180
x = 36
thus measure of angle A = 72
angle B =108
angle C = 72
angle D =108
Answered by
5
Answer:
Let two adjacent angles A and B of ∥gm ABCD be 3x and 2x respectively.
Since the adjacent angles of a parallelogram are supplementary.
∠A+∠B=180
o
⇒3x+2x=180
o
⇒5x=180
o
⇒x=
5
180
o
=36
o
∴∠3×36
o
=108
o
and, ∠B=2×36
o
=72
o
Since the opposite angles are equal in a parallelgram, therefore, ∠C=∠A=108
o
and ∠D=∠B=72
o
Hence, ∠A=108
o
,∠B=72
o
,∠C=108
o
and ∠D=72
o
Step-by-step explanation:
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