Question

In a parallelogram ABCD, the measure of angle A = 75⁰. What is the measure of angle D?​

Answer 1

Answer:

In a parallelogram ABCD, the measure of angle A = 75⁰, the measure of angle D = 75°

Step-by-step explanation:

In any parallelogram, the opposite angles are equal.

Since both the opposite lines are parallel, therefore creates a supplementary angle between the two angles.

Supplementary angle = 180°.

Hence the measure of the angle D = A = 75°

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Answer 2

Concept

A unique variety of quadrilaterals made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its adjacent sides, but it must have opposite sides that are parallel for it to be a parallelogram. If the opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both pairs of opposite sides are parallel and equal is referred to as a parallelogram. In a parallelogram, the opposing angles are equal.

Given

In the given parallelogram ABCD, the measure of angle A = 75°.

Find

We have to find the value of angle D.

Solution

Let the value of angle D = x.

So, we can write

2(75 + x) = 360

i.e. 75 + x = 360/2 = 180

i.e. x = 180 - 75 = 105

Therefore, the value of angle D is 105°.

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