Answer:
m<R = 106°
Step-by-step explanation:
Given,
m<R = (6x+10)°
m<S = (2x+5)°
m<T = (3x-11)°
Now,
6x+10°+2x+5°+3x-11° = 180°{the sum of angles of triangle is 180°}
or, 11x+4° = 180°
or, 11x = 180°-4
or, x = 176°/11
or, x = 16°
therefore, x = 16°
m<R = (6x+10)°
= 6×16°+10°
= 96°+10°
= 106°
