Two angles are supplementary. They have the following measures: m∠ACB=x° and m∠BCD=26° . What is the measure of ∠ACB ?(1 point)
m∠ACB
Since two angles are supplementary, their measures add up to 180 degrees. Therefore, the measure of ∠ACB is 180 - 26 = <<180-26=154>>154 degrees.
Two angles are supplementary. They have the following measures: m∠QRS=(x+16)° and m∠SRT=(3x)° . What is the measure of ∠SRT ?(1 point)
m∠SRT=
Since two angles are supplementary, their measures add up to 180 degrees. Therefore, we can set up the equation:
(x+16) + (3x) = 180.
Simplifying this equation, we get:
4x + 16 = 180.
Subtracting 16 from both sides of the equation, we get:
4x = 164.
Dividing both sides by 4, we get:
x = 41.
Therefore, the measure of ∠SRT is 3x = 3(41) = 123 degrees.
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
x°−20°=180°
x minus 20 equals 180
10x°−20°=180°
10 x minus 20 equals 180
9x°−20°=180°
The correct equation to solve for x is: (x-6) + (4x-14) + (5x) = 180.
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°
The correct equation to solve for x is: 135 + 9x = 180.
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
75°
75 degrees
165°
165 degrees
15°
15 degrees
180°
If two angles are supplementary, their measures add up to 180 degrees. Therefore, we can set up the equation:
15 + x = 180.
Subtracting 15 from both sides of the equation, we get:
x = 180 - 15.
Simplifying this equation, we get:
x = 165.
Therefore, the value of ∠CBD is 165 degrees.
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
180°
180 degrees
25°
25 degrees
70°