Question

If one angle of a parallelogram is 60 degree. Find the measure of the opposite angle.

Answer 1

the opposite angle will be 120degree

Answer 2

Answer

Given: one angle of parallelogram =60°

To find -

The opposite angle of parallelogram

Solution

we can find the angles by following steps--

let the parallelogram be ABCD and the angle A of parallelogram is equal to 60°

we know that angles opposite to each other are equal.

so, angle opposite to angle  A  is angle C

A=60° and C = 60°

We know that adjacent angles of a parallelogram are supplementary

∠A + ∠B = 180°

On putting values ,

60°+∠B =180°

∠B = 180°-60 °

∠B = 120°

The adjacent angle =120°

∴ the opposite angle is 60°

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