Answer:
∠S = 105°
∠T = 95°
Explanation:
Cyclic quadrilateral:
Quadrilateral MNST is a cyclic quadrilateral. In cyclic quadrilateral, the opposite angles are supplementary.
m∠S + m∠M = 180°
3x + 2x + 5 = 180
5x + 5 = 180 {Combine like terms}
5x = 180 - 5 {Subtract 5 from both sides}
5x = 175
x = 175 ÷ 5 {Divide both sides by 5}
x = 35°
∠S = 3x
= 3 * 35
= 105°
∠T = 3x - 10
= (3*35) - 10
= 105 - 10
= 95°