Question

In a triangle the middle angle is 7 times the smallest angle and the greatest angle is 45° more than the middle angle. Find the angle​

Answer 1

Step-by-step explanation:

Let the smallest angle = x

Middle angle = 7x

Largest angle = 7x + 45

In a triangle, the sum of 3 angles is 180 degrees

Therefore, x + 7x + 7x + 45 = 180

15x + 45 = 180

15x = 135

x = 135/15 = 9

Smallest angle = 9 degrees

Middle angle = 7x = 63 degrees

Largest angle = 7x + 45 = 108 degrees