Question

Geometry question I’m confused with this help

Answer 1

Answer: ∠PQR = 130°

Step-by-step explanation:

      The word bisects means that angle PQS and SQR are equal to each other.

           3x + 5 = 2x + 25

           3x = 20

           x = 20

      Now, we will plug this value back in and solve for angle PQR. There are three ways we could do this.

      [1]

             (3x + 5) + (2x + 25)

             (3(20) + 5) + (2(20) + 25)

             (60 + 5) + (40 + 25)

             (65) + (65)

                 130 degrees

      [2]

             (3x + 5) * 2

             (3(20) + 5) * 2

             (65) * 2

                 130 degrees

      [3]

             (2x + 25) * 2

             (2(20) + 25) * 2

             (65) * 2

                 130 degrees