Question

In parallelogram hijk the measure of angle H is 45 what is K

Answer 1

Answer:

your answer is in the picture

Answer 2

Given:

In parallelogram HIJK, the measure of angle H is 45°.

To find:

The measure of angle K.

Solution:

First of all, we should know that in a parallelogram ABCD, having angles angle A, angle B, angle C and angle D, the sum of adjacent angles is equal to 180°.

This means,

angle A + angle B = 180°

angle B + angle C = 180°

angle C + angle D = 180°

angle A + angle D = 180°

They are said to form a linear pair.

So, as given, we have,

A parallelogram HIJK where angle H = 45°.

So,

angle H + angle K = 180° (linear pair)

45° + angle K = 180°

angle K = 180° - 45°

angle K = 135°

Hence, the measure of angle K is 135°.