If D and C are supplementary, and D = (2x + 2)°, and C = (3x + 18)°, find x.Question 52Select one:a.14b.20c.5d.32
Question
If D and C are supplementary, and D = (2x + 2)°, and C = (3x + 18)°, find x.
Question 52
Select one:
a. 14
b. 20
c. 5
d. 32
Solution
Given that angles D and C are supplementary, their sum is equal to 180 degrees.
So, we can set up the equation:
(2x + 2)° + (3x + 18)° = 180°
Solving this equation step by step:
Step 1: Combine like terms on the left side of the equation:
5x + 20 = 180
Step 2: Subtract 20 from both sides of the equation:
5x = 160
Step 3: Divide both sides of the equation by 5:
x = 32
So, the answer is d. 32.
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