Question

Use the given ratios to solve each problem. The ratio of the measures of the three angles in a triangle is 2:9:4. Find the measures of the angles. Write only the numerical value. Arrange your angles in order of the given ratio.

Answer 1

Answer:

first angle = 24

second angle = 108

third angle = 48

Step-by-step explanation:

Lets take 2 as 2x, 9 as 9x, 4 as 4x.

We know that the sum of all the angles is a triangle has to be 180°

By sum

2x+9x+4x=180°

15x=180°

x=180°/15

x=12

now the first angle is 2x=2x12=24

the second angle is 9x=9x12=108

the third angle is 4x=4x12=48