The angles of a triangle are in the ratio 1 ∶ 1 ∶ 2. What percentage of the total internal angle is the greatest angle?
A50%
B65%
C45%
D40%
Answer:
A. 50%
Read Explanation:
Let the angle of the triangle be x, x, 2x
Sum of angles = 180°
x + x + 2x = 180°
4x = 180°
x = 45°
2x = 2 × 45° = 90°
Percentage of the greatest angle
[90/180] × 100 = 50%