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