Question

The ratio of the measures of the angles in a triangle is 4:9:17. Find the measures of the largest middle and smallest angles Remember all the angle in a triangle add up to 180.

Largest Angle is _____°
Middle Angle is _____°
Smallest Angle is ______°

Answer 1

Largest Angle is 102°

Middle Angle is 54°

Smallest Angle is 24°

Explanation:

4 + 9 + 17 = 30 1. first add up the values in the ratio

180 / 30 = 6 2. then divide the total number by the previous answer

6 x 4 = 24 3. then multiply all of the singular values in the ratio by

6 x 9 = 54 your answer

6 x 17 = 102

4. make sure to check your answer - all of your final

values should add to 180

Answer 2

102° , 54° , 24°

Explanation:

sum the parts of the ratio , 4 + 9 + 17 = 30 parts

divide 180° by 30, to find the value of 1 part of the ratio

180° ÷ 30 = 6° , then

Largest angle = 17 × 6 = 102°

Middle angle = 9 × 6 = 54°

Smallest angle = 4 × 6 = 24°