Question

The following angles are supplementary to each other.

m∠C = (x + 25)° and m∠D = (2x − 25)°

Determine x.

25
43
50
60

Answer 1

Answer:

60

Step-by-step explanation:

Creating an equation

Supplementary angles add up to 180 degrees

If ∠C and ∠D are supplementary, then ∠C + ∠D = 180

This means that (x + 25) + (2x - 25) = 180

Solving for x

(x + 25) + (2x - 25) = 180

==> remove parenthesis

x + 25 + 2x - 25 = 180

==> combine like terms

3x = 180

==> divide both sides by 3

x = 60