Solved:
Answered by AI, Verified by Human Experts
Figure PQRS is a parallelogram.
Figure PQRS is a parallelogram.Parallelogram P Q R S is shown. Angle Q is (x + 15) degrees and angle R is (6 x minus 10) degrees.
What are the measures of angles P and S?
∠P = 20°; ∠S = 160°
∠P = 40°; ∠S = 140°
∠P = 140°; ∠S = 40°
∠P = 160°; ∠S = 20°
The correct answer is:and.In a parallelogram, opposite angles are equal. Therefore,is equal toandis equal to.Given thatand, we can set up two equations:1.2.Now, solve for x using these equations.1.(since2.(since the sum of adjacent angles in a parallelogram is 180 degrees)Solving equation 2:Combine like terms:Now, solve for x:Now that we have x, we can find the measures ofand:degreesSo, the correct answer is:and....
Unlock full access for 72 hours, watch your grades skyrocket.
For just $0.99 cents, get access to the powerful quizwhiz chrome extension that automatically solves your homework using AI. Subscription renews at $5.99/week.