Respuesta :

Answer:

< K = 135

Step-by-step explanation:

< K = 180 - < H

= 180 - 45 = 135

The measure of angle K is 135 degrees and this can be determined by using the properties of a parallelogram.

Given :

In parallelogram HIJK, the measurement of angle H is 45 degrees.

The following steps can be used in order to determine the measure of angle K:

Step 1 - According to the definition of a parallelogram, the opposite sides of a parallelogram are parallel.

Step 2  - According to the given data, the measurement of angle H is 45 degrees.

Step 3 - So, according to the definition of a parallelogram, the measure of angle K is:

[tex]\rm \angle H + 90 = \angle K[/tex]

[tex]\rm 45 + 90 = \angle K[/tex]

[tex]\rm \angle K =135^\circ[/tex]

For more information, refer to the link given below:

https://brainly.com/question/1563728