Question

The second angle of a triangle is four times the first and the third is 5 degrees

more than twice the first. Find the measures of the angles.

Answer 1

25

100

55

Explanation:

Givens

Let the first angle = x

Let the second angle = 4x

Let the third angle = 2x + 5

All triangles have 180

Equation

x + 4x + 2x + 5 = 180

Solution

Begin by combining like terms

7x + 5 = 180

7x = 180 - 5

7x = 175

7x/7 = 175/7

x = 25

Answer

First angle = x = 25

Second angle = 4x = 100

Third angle = 2x + 5 = 55

Total 180