Answered

  1. Two streets form an intersection. ZC and ZD are
    supplementary angles. If the measure of C is 128°
    and the measure of ZD is two times the value of x,
    what is the value of x?
    D

Verified Answer :

GinnyAnswer

To solve this question, let's follow the given information step by step:

We are given that ZC and ZD are supplementary angles, which means that the sum of angles ZC and ZD is 180° because supplementary angles add up to 180°.

1. We know the measure of angle C (ZC) is 128°.
2. We’re told that the measure of angle D (ZD) is twice the value of x, so ZD = 2x.

Since angles ZC and ZD are supplementary, their measures must add up to 180°.

So the equation based on the given information is:
\(\( \text{measure of angle C} + \text{measure of angle D} = 180° \)\)
\(\( 128° + 2x = 180° \)\)

Now we'll solve for x:

\(\( 2x = 180° - 128° \)\)
\(\( 2x = 52° \)\)

Divide both sides by 2 to solve for x:
\(\( x = \frac{52°}{2} \)\)
\(\( x = 26° \)\)

Therefore, the value of x is 26°.

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