Question

Q.One side of a triangle is produced and the exterior angle so formed is 120°. If the interior opposite angles be in the ratio of 3:5, find the measure of each angle of a triangle.​

Hi​

Answer 1

Answer:

One of the exterior angles of a triangle is 120° and the interior opposite angles are in ratio 2:3. What are the angles of the triangle?

let the angles be x

2x+3x=120 {exterior angle is sum of two interior opposite angle }

5x=120

x=120 divided by 5

x=24

2x=2x 24=48

3x=3x24=72

48+72+y=180 {angle sum property of a triangle}

120+y=180

y=180–120

y= 60

So , the angles of the triangle are

48 degree ,72 degree ,60 degree

To check

72+48+60= 180{angle sum property of a triangle }

120+60=180.