Question

If m∠PQS = 1°, m∠SQR = 19x + 17°, and m∠PQR = (121 - 6)°, find m∠PQR.

a) 115°
b) 119°
c) 121°
d) 125°

Answer 1

The measure of ∠PQR, we can use the fact that the sum of the angles in a triangle is equal to 180 degrees. Substituting the given angle measures and solving for x, we find that m∠PQR is 115 degrees.

Step-by-step explanation:

To find the measure of ∠PQR, we can use the fact that the sum of the angles in a triangle is equal to 180 degrees. So we have:

m∠PQS + m∠SQR + m∠PQR = 180

Substituting the given angle measures:

1 + (19x + 17) + (121 - 6) = 180

Combine like terms and solve for x:

19x + 133 = 180

19x = 47

x = 47/19

Now substitute the value of x back into m∠PQR:

m∠PQR = 121 - 6 = 115 degrees (option a)