NEED HELP ASAP PLEASE HELP

What are the measures of the two angles in the figure below?

Select one:
a. 95° and 85°
b. 100° and 80°
c. 105° and 75°
d. 110° and 70°

NEED HELP ASAP PLEASE HELP What are the measures of the two angles in the figure below Select one a 95 and 85 b 100 and 80 c 105 and 75 d 110 and 70 class=

Respuesta :

if im not mistaken, the answer should be B
Angles on a straight line add up to 180°
This means we can say that:

(5x + 20) + (4x +25) = 180

Now we have an equation that we can solve:

(5x + 20) + (4x +25) = 180
9x + 45 = 180    (we collected the terms : 4x + 5x = 9x, and 20 + 25 = 45)
9x = 135  (we subtracted both sides by 45, to get the x values alone on one side)
x = 15    (we divided both sides by 9, to get what just x is)
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Now that we know the value of x, we can substitute it into the equations given in the diagram:

5x + 20 = 5 * 15 + 20
              = 95°

4x + 25 = 4 * 15 + 25
             85°
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Answer:

So the measure of the two angles are:
A)  95
° and 85