Question

One of the exterior angle of a triangles are in the ratio 4:5 then the angles are

Answer 1

Answer:

One of the exterior angle of a triangles are in the ratio 4:5 then the angles are

Answer 2

Answer:

Solution

Let ratio be x . then angles are 4x ,5x and 6x

Sum of exterior angle of a triangle = 360

4x+5x+6x = 360

15x = 360

x = 24

First Exterior angle = 4(24) = 96

Second Exterior angle=5(24) = 120

third extreior angle = 6(24) = 144

First interior = 180-96 = 84

Second Interior = 180-120= 60

third Interior = 180-144= 36

Ratio = 84:60:36

= 7:5:2

Step-by-step explanation: