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
180°
180 degrees
25°
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
165°
165 degrees
180°
180 degrees
15°
15 degrees
75°
The correct answer is 165 degrees.
Supplementary angles add up to 180 degrees.
Therefore, we can set up the equation:
m∠ABC + m∠CBD = 180 degrees
Plugging in the given values, we get:
15 + x = 180
Solving for x, we get:
x = 165
Therefore, the value of m∠CBD is 165 degrees.
The correct answer is 70 degrees.
Supplementary angles add up to 180 degrees.
So we can set up the equation:
(x+40) + x = 180
When we solve for x, we get:
2x + 40 = 180
2x = 140
x = 70
Therefore, the measure of ∠QRS is 70 degrees.