Question

ABCD is a parallelogram in which angle A =110° . Find the measure of each of the angles B,C,D.
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Answer 1

Answer:

c=100° , B and D= 70°

Angle A = Angle C ( By opposite angle Parallelogram )

Angle C = 100°

Angle A+ Angle B = 180° (By Adjacent side of parallelogram)

100° + Angle B = 180°

Angle B = 70°

Angle D = Angle B ( By opposite angle parallelogram)

Angle D = 70°

Answer 2

Step-by-step explanation:

Angle A = 110° (given)

$angle \: a \: = angle \: c \: (adjacent \: angles)$

Therefore, angle c =110°

Angle A + Angle B = 180° (adjacent angles)

$110 + angle \: b \: = 180 \\ angle \: b = 180 - 110 \\ angle \: b \: = 70$

Therefore, Angle B = 70°

Angle B = Angle D (opposite angles)

$angle \: b \: = angle \: d \: (opposite \: angles)$

Therefore, Angle D = 110°