Question

In a parallelogram abcd angle a = 100 degree find the measure of angle b and d

Answer 1

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Answer 2

Answer:

$\angle B=80^{0}\\\angle D=80^{0}$

Step-by-step explanation:

A parallelogram is a two-dimensional geometrical shape having 4 sides in which the length of opposite parallel sides are equal.

Properties of angles of parallelogram:

1. Opposite angles are equal
2. The angles on the same side of the transverse are supplementary which means their sum is 180 degrees.

Let ABCD be a parallelogram,

Given,

$\angle A=100^{0}$

$\angle A\ and\ \angle B\ are\ on\ the\ same\ side\ of\ the\ tranverse:\\\angle A+\angle B=180^{0}\\\angle B=180^{0}-100^{0}=80^{0}$

$\angle B =\angle D\ (Opposite\ angles)\\\angle D=80^{0}$

Opposite angles of a parallelogram are equal.