Question

One of the exterior angles of a triangle is 100° and the interior opposite angles are in the
ratio 2:3. Find all the angles of the triangle.​

Answer 1

Step-by-step explanation:

THE EXTERIOR  ANGLE = 100

AND ITS OPPOSITE INTERIOR ANGLE 2:3

SO, 2:3 = 100 [ EXTERIOR ANGLE IS EQUAL TO OPPOSITE INTERIOR ANGLE]

2X+3X = 100

5X = 100

X= 20

2X = 2[20] = 40

3X = 3[20] = 60

AND LAST ANGLE ==>

40+60+X = 180 [ SUM OF ALL ANGLE IN A TRIANGLE IS 180]

100+ X = 180

X = 80