Question

The ratio of interior angles of a triangle is 3:2 and their opposite exterior angle is 150.
hat is the measure of each interior angle

Answer 1

Step-by-step explanation:

$3x + 2x = 150° \\ \\</p><p>5x = 150° \\ \\</p><p>x = \frac{150}{5} \\ \\</p><p>x = 30° \\ \\</p><p>x = \frac{130}{5} \\ \\ x \: = \: 30 \\ \\measure of interior angles = 3 × 30 = 90 \\ \\ second angle = 2 × 30 = 60 \\ \\ third angle = 180-(90+60) = 30$

Answer 2

Step-by-step explanation:

let the angles be 3x,2x

By exterior angle property,

3x+2x=150

5x=150

x=30

measures of interior angles=3×30=90

2×30=60

third angle=180-(90+60)=30