Question

The ratio of the angles of a triangle is 3:4:5 find the measure of each angle

Answer 1

45° , 60° , 75°

Explanation:

sum the parts of the ratio , 3 + 4 + 5 = 12 parts

the sum of the 3 angles in a triangle is 180°

divide 180° by 12 to find the value of one part of the ratio

180° ÷ 12 = 15° , then

3 parts = 3 × 15° = 45°

4 parts = 4 × 15° = 60°

5 parts = 5 × 15° = 75°

the measures of the 3 angles are 45° , 60° , 75°

Answer 2

sum of angles triangle = 180°

sum of ratios : 12

angle 1:

3/12*180=45°

angle 2:

4/12*180=60°

angle 3:

5/12*180=75°

Explanation: