Question

Use the diagram for questions 7 - 9.

7:What is the relationship between the two angles?
a-Complementary
b-Linear Pair
c-Vertical Angles

8: Solve for x.
a-x = 51
b-x = 96
c-x = 102
d-x = 39


9: What rule applies to the two angles?
a-They add up to 90
b-They are congruent (equal).
c-They add up to 180

Answer 1

7. A

8. A

9. A

Explanation:

Two angles are Complementary when they add up to 90 degrees. As you can see from the diagram angles x° and (x-12)° add up to right angle (90° angle), then the correct choice is complementary angles.

Thus,

`x+x-12=90\\ \\2x=90+12\\ \\2x=102\\ \\x=51^(\circ).`

Actually, the rule is described in the definition: they add up to 90 degrees.