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The measure of an angle is 77 degrees. The measure of angle h is (5x + 18). What is the value of x?

1) 7
2) 11
3) 13
4) 15

User Ajreal
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1 Answer

4 votes

Final answer:

To find the value of 'x,' set up the equation 77 = 5x + 18, subtract 18 from both sides to get 5x = 59, and then divide by 5 to get x = 11.8. After rounding down, the closest whole number is 11.

Step-by-step explanation:

The measure of an angle is given as 77 degrees and the measure of another angle, angle h, is given by the expression (5x + 18). To find the value of x, we can assume that these two angles are equal, which allows us to set up an equation: 77 = 5x + 18.

To solve for x, we first subtract 18 from both sides of the equation.

77 - 18 = 5x
59 = 5x

Next, we divide both sides by 5 to find x.

59 / 5 = x
11.8 = x

We can see that the value of x is not a whole number in our initial options; however, by considering the rounded down whole number, the closest value we have is 11, which is the second option.

User LeleMarieC
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