SOLUTION: The measure of angle 1 is five less than four times the measure of angle 2. If angle 1 are two form a linear pair, what are their measures.

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Question 345899: The measure of angle 1 is five less than four times the measure of angle 2. If angle 1 are two form a linear pair, what are their measures.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
A linear pair of angles is formed when two lines intersect. Two angles are said

to be linear if they are adjacent angles formed by two intersecting lines. The

measure of a straight angle is 180 degrees, so a linear pair of angles must add

up to 180 degrees.

Let A = first angle

Let B = second angle

Then A + B = 180 degrees

A = 4B - 5

Replace A in A + B = 180 with 4B - 5.

4B - 5 + B = 180

5B - 5 = 180

5B = 180 + 5

5B = 185

B = 185/5

B = 37 degrees

To find angle A, we go back to A + B = 180 and replace B with 37.

A + B = 180

A + 37 = 180

A = 180 - 37

A = 143 degress

Angle A = 143 degrees

Angle B = 37 degrees