Question

Angles R and Z are complementary. If m ∠R = 26˚, what is the measure of angle Z?

Answer 1

64

Explanation:

(note:Two angles are called complementary when their measures add to 90 degrees.)

90-26=64

Answer 2

`\boxed {\boxed {\sf m\angle Z=64 \textdegree}}}`

Explanation:

Complementary angles add to 90 degrees. Since angles R and Z are complementary, their sum must be 90.

`\angle R + \angle Z= 90`

We know the measure of angle R is 26 degrees.

`26+ \angle Z=90`

Since we are solving for the measure of angle Z, we must isolate it. 26 is being added. The inverse of addition is subtraction, so subtract 26 from both sides.

`26-26 \angle Z= 90-26\\\angle Z= 90=26 \\\angle Z=64`

The measure of angle Z is 64 degrees.