Quantitative Literacy Practice Exam 2025 – Comprehensive All-in-One Guide to Exam Success!

To find the measures of the two supplementary angles, we start by recalling that two angles are supplementary if the sum of their measures equals 180 degrees. Given the angles (11y + 12)° and (16y + 6)°, we set up the equation:

(11y + 12) + (16y + 6) = 180

Combining like terms, we have:

11y + 16y + 12 + 6 = 180

27y + 18 = 180

Next, we isolate the variable by subtracting 18 from both sides:

27y = 162

Now, we divide both sides by 27 to solve for y:

y = 6

With the value of y determined, we can now calculate the measures of the angles:

1. For (11y + 12)°, we substitute y = 6:

11(6) + 12 = 66 + 12 = 78°

2. For (16y + 6)°, we substitute y = 6:

16(6) + 6 = 96 + 6 = 102°

Thus, the measures of the two supplementary angles are