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

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,

[tex]x+x-12=90\\ \\2x=90+12\\ \\2x=102\\ \\x=51^{\circ}.[/tex]

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

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Use the diagram for questions 7 - 9.7:What is the relationship between the two angles?a-Complementaryb-Linear Pairc-Vertical Angles8: Solve for x.a-x = 51b-x = 96c-x = 102d-x = 399: What rule applies to the two angles?a-They add up to 90b-They are congruent (equal).c-They add up to 180

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