the measure of two digit number
adjacent angle of a
measure of
each vide
the parallel
ratio
3: 7
angle of the
gram in the
parallelogram in the aute ratio
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Answer:
Let two adjacent angles A and B of ∥gm ABCD be 3x and 7x respectively.
Since the adjacent angles of a parallelogram are supplementary.
∠A+∠B=180°
⇒3x+7x=180°
⇒10x=180°
⇒x=10/180
x=18°
∴∠3×18 °
=54°
and, ∠B=2×18°
=36°
Since the opposite angles are equal in a parallelgram, therefore, ∠C=∠A=54°
and ∠D=∠B=36°
Hence, ∠A=54°
,∠B=36°
,∠C=54°
and ∠D=36°
Step-by-step explanation:
Hope this helps you.
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