Question

In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third angle is four times the measure of the second angle. If the total numbet of degrees in a triangle is 180, what is the measure of the largest angle?

Answer 1

104°

Explanation:

let the second angle be x , then

the first angle is x + 24

the third angle is 4x , thus summing and equating to 180

x + x + 24 + 4x = 180, that is

6x + 24 = 180 ( subtract 24 from both sides )

6x = 156 ( divide both sides by 6 )

x = 26

Thus largest angle = 4x = 4 × 26 = 104°