Question:
The angles of a triangle are (x − 40°),(x − 20°) and (12x − 10°). Find the value of x.
Solution:
Given that,
The angles of a triangle are
(x − 40°),(x − 20°) and (1/2x − 10°)
We know that,
Sum of all angles of triangle is 180°
∴ (x − 40°) + (x − 20°) + (1/2x − 10°) = 180°
2x + 1/2x − 70° = 180°
5/2 x = 180° + 70°
5x = 2(250)°
x = 500°/5
∴ x = 100°