Question

Lines r and s are perpendicular and intersect at point k ray kt is drawn forming angles 1 and 2 if angle 1 is 4x-12 and angle 2 equals 3x -8 what is angle 1 to nearest 10th

Answer 1

The measure of angle 1 to the nearest tenth is 50.9 degrees

Since the line r and s are perpendicular, hence the sum of the angle m<RKT and m<SKT is 90 degrees.

Given the following parameters

m<RKT  = m<1 = 4x - 12

m<SKT = m<2 = 3x - 8

Taking the sum of the angle and equating it to 90degrees, hence;

m<RKT  +m<SKT = 90

4x - 12 + 3x - 8 = 90

7x = 90 + 20

7x = 110

x = 110/7

x = 15.71

Get the measure of angle 1

m<1 = 4x - 12

m<1 = 4(15.71) - 12

m<1 = 50.9 degrees

Hence the measure of angle 1 to the nearest tenth is 50.9 degrees

Learn more here: https://brainly.com/question/11828005