In the above figure, m∠p = 105° and m∠q = 5x. if angles p and q are supplementary angles, what is the value of x and the measure of angle q? a. x = 15, m∠q = 20° b. x = 15, m∠q = 75° c. x = 57, m∠q = 75° d. x = 39, m∠q = 195°

B. x = 15, m∠Q = 75°

Step-by-step explanation:

Given:

m∠P = 105°

m∠Q =

Angles P and Q are supplementary angles

To find value of and m∠Q.

Solution:

    [Sum of supplementary angles =180°]

  [Substitution ∵ m∠P = 105° and m∠Q = ]

Subtracting both sides by 105°.

Dividing both sides by 5.

∴

∴

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.