The angles of a triangle are in the ratio of 1 ∶ 2 ∶ 3. What is t
| The angles of a triangle are in the ratio of 1 ∶ 2 ∶ 3. What is the measure of the smallest angle (in degrees)?
A. 60
B. 30
C. 90
D. 45
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
Let the three angle of a triangle be x, 2x and 3x.
We know that,
The sum of all the angles of a triangle = 180˚
⇒ x + 2x + 3x = 180
⇒ 6x = 180
⇒ x = 30˚
The smallest angle = x = 30˚