Question

In circle O, SU is a diameter. Circle O is shown. Line segment S U is a diameter. Line segments R O and T O are radii. Points R and T are between points S and U. Angles S O R and T O U are congruent. Angle R O T is (13 x + 15) degrees and angle T O U is (9 x + 5) degrees. What is mArc S T? 100° 108° 130° 160°

Answer 1

Answer:

130°

Step-by-step explanation:

See the attached diagram.

Given that ∠ ROS = ∠ TOU = 9x + 5

Again, ∠ ROT = 13x + 15.

Therefore, 13x + 15 + 2 (9x + 5) = 180

⇒ 31x + 25 = 180

⇒ 31x = 155

⇒ x = 5

Hence, ∠ SOT = ∠ SOR + ∠ ROY = 9x + 5 + 13x + 15 = 22x + 20 = 130°  

(Answer)

Answer 2

Answer:

130 on edge

Step-by-step explanation: