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.