Question

21 and 22 are complementary angles.

mZ1 = 76
What is the measure of Z2 ?
Enter your answer in the box.

Answer 1

The measure of angle 2 is
`\angle 2=14^(\circ)`

Step-by-step explanation:

Given that
`\angle 1` and
`\angle 2` are complementary angles.

Also, the measure of angle 1 is
`\angle 1= 76^{\circ`

We need to determine the measure of
`\angle 2`

Since, we know that the complementary angles add up to 90°, then the angles
`\angle 1` and
`\angle 2` add up to 90°.

Thus, we have,

`\angle 1+\angle 2=90^(\circ)`

Substituting the value of
`\angle 1` in the above expression, we have,

`76^(\circ)+\angle 2= 90^(\circ)`

Subtracting both sides by 76°, we get,

`\angle 2 = 90^(\circ)-76^(\circ)`

Simplifying, we have,

`\angle 2 = 14^(\circ)`

Thus, the measure of angle 2 is
`\angle 2=14^(\circ)`