Question

. In RST, R is 20° more than two times S, and S = T. Find themeasure of each angle. -​

Answer 1

∠R = 100° , ∠S = 40° and ∠T = 40°

Step-by-step explanation:

In a triangle, sum of all the angles in a triangle is equal to 180 degrees.

In Δ RST,

∠R + ∠S + ∠T = 180°

It is given that,

∠S = ∠T

∠R = 2∠S + 20

So plugin these values in the above equation, we will get,

2∠S + 20 + ∠S+ ∠S = 180

4∠S = 180 - 20

∠S = 160/ 4 = 40

∠R = 2× 40 + 20 = 80 + 20 = 100°

∠S = ∠T = 40°