Question

Three angles have measures that add to 180°. They have the following angle measures: m∠ABC=(x−6)°, m∠CBD=(4x−14)°, and m∠DBE=5x°. What is the equation to solve for x?(1 point)
Responses

9x°−20°=180°
9 x minus 20 equals 180

10x°−20°=180°
10 x minus 20 equals 180

10x°+20°=180°
10 x plus 20 equals 180

x°−20°=180°

Answer 1

Two supplementary angles have the following measures: m∠ABC=135° and m∠CBD=9x°. What is the equation to solve for x?(1 point)
Responses

9x°−135°=180°
9 x minus 135 equals 180

9x°+135°=180°
9 x plus 135 equals 180

9x°=180°
9 x equals 180

9x°+135°=90°

Answer 2

Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m∠ABC=15° and m∠CBD=x°. What is the value of m∠CBD
?(1 point)
Responses

15°
15 degrees

180°
180 degrees

75°
75 degrees

165°

Answer 3

Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x°. What is the measure of ∠QRS?(1 point)
Responses

110°
110 degrees

70°
70 degrees

25°
25 degrees

180°

Answer 4

choose one of the answer choices

Answer 5

Three angles measures add to 180°
and have the following measures: m∠ACB=(x+15)° , m∠BCD=(x+48)°, and m∠DCE=13°. What is the measure of ∠BCD?(1 point)
Responses

67°
67 degrees

100°
100 degrees

80°
80 degrees

52°

Answer 6

x minus 20 equals 180

Answer 7

9x plus 135 equals 180

Answer 8

180 minus 15 is 165. m∠CBD is therefore equal to 165 degrees.

Answer 9

The measure of ∠QRS is equal to (x+40)°.

Answer 10

110°

Answer 11

The measure of ∠BCD is (x+48)°.