Question

Find the measure of each marked angle.

X degree= ? Degree

(X+50) Degree =? Degree

(180-3x) Degree =? Degree

(Simplify your answers. Type an integer or a fraction.)

Answer 1

x degrees = 50 degrees.

x + 50 degrees = 50 + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Explanation:

In a triangle, the sum of all inside angles must be 180 degrees.

In this question:

The inside angles are: x, x + 50 and 180 - 3x.

Then

x + x + 50 + 180 - 3x = 180

2x - 3x = -50

x = 50

So

x degrees = 50 degrees.

x + 50 degrees = 50 + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.