1) ABCD is a parallelogram. If 2A = (4x +13) and 2D = (5X-22) then find the measures of 2B and 20.
plz if u know the ans. ans the question
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1) ABCD is a parallelogram. If 2A = (4x +13) and 2D = (5X-22) then find the measures of 2B and 20.
plz if u know the ans. ans the question
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Answer:
Here is your answer!!!
Angle A and angle D are the adjacent angles.
And we know that,
Adjacent angles of a parallelogram are supplementary.
hence,
==> (4x + 13)° + (5x - 22)° = 180
==> 9x - 9 = 180
==> 9x = 180 + 9
==> 9x = 189
==> x = 21
Therefore, the angles will be.
angle A = 4x + 13
==> 4* 21 + 13
==> 84 +13
==> 97°
angle D = 5x - 22
==> 5*21 - 22
==> 105-22
==> 83°
And we know that the opposite side and opposite angles of a parallelogram are congruent.
Therefore,
Angle C = 97°
Angle B = 83°