Aand b are supplementary angles. if a = 7x - 18 and b = 8x + 3, find x.

x=13

Step-by-step explanation:

Angle A and angle B are supplementary

Supplementary angles add to 180 degrees

<A + <B = 180

7x-18 + 8x+3 = 180

Combine like terms

15x -15 = 180

Add 15 to each side

15x-15 +15 = 180+15

15x = 195

Divide by 15

15x/15 =195/15

x =13

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x