Question

In the given figure, ABCD is a parallelogram. If ∠B = 100°, then find the value of ∠A +∠C.

Answer 1

The co-interior angles are always 180° given angle B = 100

angle B + angle C = 180°

so ,180 - 100 = 80 ° angle C = 80°

The opposite angles of a parallelogram are equal

i.e,

angle A = angle C = 80°

angle B = angle D = 100°

80° + 80° = 160°

Hence, the answer is 160°

Answer 2

Answer:

step by step explanation

Here given

<B = 100°

so ,< D = 100° (opposite angles of a parallelogram are equal)

now in parallelogram ABCD we have,

<A + <B + <C + <D = 360° (sum of interior angles of a quadrilateral)

now,<A + 100° + <C +100° = 360°

<A + <C = 360° - 200°

<A + <C = 160°

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