Question

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 10 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles

Answer 1

Answer:

1st ∡ = 15.5°

2nd ∡ = 77.25°

3rd ∡ = 87.25°

Step-by-step explanation:

1st ∡:  x

2nd ∡:  y

3rd ∡:  z

Equations we can create from data given in problem:

y + z = 5x

z = 5x + 10

We have enough expressions to create an equation:

x + 5x + 5x + 10 = 180

11x = 170

x = 15.5

y = 5(15.5) = 77.25

z = y + 10 = 87.25