Question

Angles R and S are complementary. The measure of ZS is 6º more than twice the measure of ZR. What is the measure of ZR?

A) 20 degrees
B) 25 degrees
C) 30 degrees
D) 35 degrees

Answer 1

The measure of angle ZR is 28 degrees. This is determined by setting up the equation based on the relationship that ZS is 6 degrees more than twice ZR and their sum is 90 degrees.

Step-by-step explanation:

Angles R (ZR) and S (ZS) are complementary, which means their measures add up to 90 degrees. According to the problem, the measure of ZS is 6 degrees more than twice the measure of ZR. This relationship can be expressed as ZS = 2ZR + 6. Since ZR+ZS = 90 degrees, we can set up the following equation:

ZR + (2ZR + 6) = 90

Combining like terms gives us:

3ZR + 6 = 90

Subtracting 6 from both sides we get:

3ZR = 84

Dividing both sides by 3 yields:

ZR = 28

Therefore, the measure of ZR is 28 degrees.