Question

1.7 In the following diagram, angle 7 equals 61°.
What is the measure of angle 8?
29°
61°
119°
129°

1.8 If two angles are supplementary and one of the angles measures 38°, what is the
measure of the larger angle?
62° 152° 52° 142°

Use this illustration for the following questions.

1.9 Angle 3 is equal to angle _____________ .
1.10 Angle 2 is equal to angle _____________ .
1.11 Angle 7 is equal to angle _____________ .
1.12 Angle 6 is equal to angle _____________ .

Answer 1

1.7) < 7 and < 8 form a linear pair....which means, when added, they equal 180 degrees. So if < 7 = 61, then < 8 = (180 - 61) = 119 <=

1.8) angles that are supplementary will add up to 180. So if one of the angles is 38, then the other one is (180 - 38) = 142 <==

1.9) < 3 = < 5 (vertical angles are congruent)
1.10) < 2 = < 8 (vertical angles are congruent)
1.11) < 7 = < 1 (vertical angles)
1.12) < 6 = < 4 (vertical angles)

Answer 2

1.7 ) 180-61 = 119
1.8 ) 180 -38 = 142
1.9 ) 5
1.10) 8
1.11) 1
1.12 ) 4