Question

Angle J and Angle K are complimentary angles. The measure of angle j is 18 less than the measure of angle k. Find measure each angle

Answer 1

k + k - 18= 90

2k -18= 90

2k = 108

k = 54

k - 18= 36

Answer 2

Answer: The measure of ∠J = 36° and ∠K = 54°.

Explanation:

Since we have given that

∠J and ∠K are complementary angles.

As we know that sum of two complementary angles is 90°.

and the measure of angle J is 18 less than the measure of angle K.

According to question, we get that

`\angle J+\angle K=90^\circ\\\\\angle K-\angle J=18^\circ\\\\so,\\\angle K=18^\circ +\angle J`

So, it becomes,

`\angle J+\angle K=90^\circ\\\\\angle J+18+\angle J=90^\circ\\\\2\angle J=90-18\\\\2\angle J=72\\\\\angle J=(72)/(2)\\\\\angle J=36^\circ`

So, the measure of ∠J = 36° and ∠K=36+18=54°.

Hence, the measure of ∠J = 36° and ∠K = 54°.