Question

If angle 1 and angle 2 form a linear pair and angle 1 is 18 degrees less than five times the measure of angle 2, then the angle 1 is _____ degrees

Answer 1

Answer:

Angle 1 is 147 degrees

Step-by-step explanation:

When two angles form a linear pair, then we have the intersection of two lines

So what this mean is that both angles lie on a straight line and the sum of both angles is 180.

Let the angle 2 be x

We are told that angle 1 is 18 degrees less than 5 times the measure of angle 2;

What we are saying here is that; angle 1 = 5x - 18

So let’s add both together to give 180

angle 1 + angle 2 = 180

x + 5x -18 = 180

6x = 180+ 18

6x = 198

x = 198/6

x = 33 degrees

But angle 1 is 5x -18 = 5(33) -18 = 165 -18 = 147 degrees