Answer:
∠R = 106°
Step-by-step explanation:
Given that,
In ΔRST, ∠R = (6x + 10)°, ∠S = (2x + 5)°, and ∠T = (3x – 11)°.
We need to find ∠R.
We know that, the sum of angles of a triangle is equal to 180°.
ATQ,
(6x + 10) + (2x + 5) + (3x – 11) = 180
Taking like terms,
6x+2x+3x = 180-10-5+11
11x = 176
x = 16
So,
∠R = (6x + 10) = 6(16) + 10
= 106°
Hence, ∠R = 106°
