Solve Equations with Adjacent Angles Quick Check
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Question
Two adjacent angles are on a straight line. One angle has a measure of (5x−28)° and the other angle has a measure of (8x)°. What is the measure of the second angle?(1 point)
Responses
16°
16 degrees
52°
52 degrees
120°
120 degrees
128°
128 degrees
For two adjacent angles with measures x° and (x+30)° that make up a 90° angle, what is x ?(1 point)
Responses
30
30
20
20
60
60
15
60
A right angle is formed by two adjacent angles with measures of (x)° and (x+30)°. What are the two angle measures?(1 point)
Responses
75° and 105°
75 degrees and 105 degrees
60° and 90°
60 degrees and 90 degrees
30° and 60°
30 degrees and 60 degrees
70° and 25°
60° and 90°
A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3)° and the other has a measure of (x−6)° . What are the measures of the two angles that make up the straight line?(1 point)
Responses
125° and 55°
125 degrees and 55 degrees
121° and 59°
121 degrees and 59 degrees
129° and 51°
129 degrees and 51 degrees
186° and 88°
121° and 59°
An obtuse angle is formed by two adjacent angles with measures (x−5)° and (3x)° . If the resulting angle measure is 107° , what is the angle measure of each of the two unknown angles? Round to the nearest whole number.(1 point)
Responses
32° and 75°
32 degrees and 75 degrees
28° and 79°
28 degrees and 79 degrees
23° and 84°
23 degrees and 84 degrees
20° and 87°