Question

Use the diagram to find the angle measuresof the triangle. Recall that the sum of theangle measures of a triangle is 180°3x(x+5)*Xº =(x+5)° = Dº3xº =

Answer 1

x = 35 degrees

x + 5 = 40 degrees

3x = 15 degrees

Step-by-step explanation:

Given that the angle measures of a triangle is 180 degrees, we have

3x + (x + 5) + x = 180

3x + x + 5 + x = 180

5x + 5 = 180

Subtract 5 from both sides

5x + 5 - 5 = 180 - 5

5x = 175

Divide both sides by 5

5x/5 = 175/5

x = 35 degrees

x + 5 = 35 + 5 = 40 degrees

3x = 3(5) = 15 degrees