Question

The following angles are supplementary to each other. m∠C = (x + 25)° and m∠D = (2x − 25)° Determine x.

a.25
b.43
c.50
d.60

Answer 1

To find the value of x in this supplementary angles problem, we need to set up an equation using the fact that supplementary angles add up to 180°. Solving the equation, we find x = 60. Therefore, the correct answer is (d) 60.

Step-by-step explanation:

In this question, we are given that angles C and D are supplementary to each other.

The measure of angle C is given as (x + 25)°, and the measure of angle D is given as (2x - 25)°.

To find the value of x, we need to set up an equation using the fact that supplementary angles add up to 180°.

So, we have:

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

Combining like terms, we get:

3x = 180

Dividing both sides by 3, we find:

x = 60

Therefore, the value of x that satisfies the given conditions is 60. So, the correct answer is (d) 60.