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

Sagot :

Answer:

64

Step-by-step explanation:

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

90-26=64

Answer:

[tex]\boxed {\boxed {\sf m\angle Z=64 \textdegree}}}[/tex]

Step-by-step explanation:

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

[tex]\angle R + \angle Z= 90[/tex]

We know the measure of angle R is 26 degrees.

[tex]26+ \angle Z=90[/tex]

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.

[tex]26-26 \angle Z= 90-26\\\angle Z= 90=26 \\\angle Z=64[/tex]

The measure of angle Z is 64 degrees.