7. Two adjacent angles of parallelogram are (3x + 20' and (x - 10)". Then x is
a. 4.75
b. 42.5
C. 47.5
d. 4.25
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Answer:We know that sum of adjacent angles of a parallelogram is 180
o
.
Therefore,
(3x−20
o
)+(50
o
−x)=180
o
2x+30
o
=180
o
2x=150
o
x=75
o
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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