Question

What are the measures of the angles of a triangle if one angle is three times the measure of a second angle and the third angle measures 5 times the second angle decreased by 90?

Answer 1

Three angles are `99^0,30^0,60^0`

Explanation:

Sum of three angles of a triangle = 180^0

Let the angles be A, B & C

A = 3B
C = 5B - 90
Expressing all three angles in terms of B,
`3B + B + 5B - 90 = 180`

`9B = 270` or `B = 30^0`
`A = 3B = 3*30 = 90^2`
`C = 5B - 90 = 150 - 90 = 60^0`