Math, asked by raghdevansh3285, 1 year ago

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

Answers

Answered by mounteverest
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Answered by amishasingh2311
1

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.

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