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F the ratio of measures of two adjacent angles of a parallelogram is 2:3, the measure of the angles are *60°,60°70°,110°72°,108°60°.120° |
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Answer» Step-by-step EXPLANATION: 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 |
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