Question

ABCD is a parallelogram angle A is of 70 degree and find the other angles ,angle B,C,D

Answer 1

Answer:

ABCD is a parallelogram, therefore

angle A = angle C = 70 degrees [opp. angles of parallelogram]

angle A + angle B = 180 degree [adjacent angles]

70 + angle B = 180

angle B = 180 - 70 = 110 degrees

angle B = angle D = 110 degrees [opp. angles of parallelogram]

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Step-by-step explanation:

Answer 2

Answer:

Opposite angles of parallelogram are congruent

In parallelogram ABCD

∠A = 70°

Therefore ∠C = 70°

We know that

Sum of angles of any quadrilateral is 360°

∠A + ∠B + ∠C + ∠D = 360°

70° + ∠B + 70 +∠D= 360°

140 + ∠B + ∠D = 360°

∠B + ∠D = 360 - 140

∠B + ∠D = 220

∠B = ∠D

2 × ∠B = 220

∠B = 110°

∠A = 70°, ∠B = 110°, ∠C = 70°, ∠D = 110°