Question

Find the measure of angle QRS

Answer 1

Hello,

(6x+13)+(3x-4)=180
9x+9=180
9x=171
x=19
angle QRS measures 3x-4=3*19-4=53(°)

Answer 2

The numerical value of x is 19 and the measure of angle QRS is 53 degrees.

Given that:

Measure of angle PRS = 180 degrees

Measure of angle PRQ = 6x + 13

Measure of angle QRS = 3x - 4

To solve for the measure of angle QRS, first, we need to find the numerical value of x:

Angle PRQ + Angle QRS = Angle PRS

Plug in the values:

6x + 13 + 3x - 4 = 180

Solve for x:

9x + 9 = 180

9x = 180 - 9

9x = 171

x = 171/9

x = 19

Now, we solve for the measure of angle QRS:

Measure of angle QRS = 3x - 4

Plug in x = 19:

Measure of angle QRS = 3(19) - 4

Measure of angle QRS = 57 - 4

Measure of angle QRS = 53 degrees

Therefore, angle QRS measures 53 degrees.