Question

The measures of the angles of an isosceles triangle are in the ratio
3:3:2. Find the measure of the largest angle.

Answer 1

answer:

67.5

Explanation:

Let the triangle be ΔABC and angles be ∠A,∠B,∠C

Now, we know that all the 3 angles of a triangle sum up to be 180° from the Triangle Sum Property.

:.∠A + ∠B + ∠C = 180

:.3x+3x+2x=180 [3:3:2]

:.8x = 180

:.x = 180/8

:.x = 22.5°

:.

/_A=3x=3(22.5)=67.5°

/_B=3x=3(22.5)=67.5°

/_C=2x=2(22.5)=45°