Quantitative Literacy Practice Exam 2026 – Comprehensive Preparation Guide

Question: 1 / 400

One angle is 68° more than another angle. If the angles are supplementary, what are the measures of the angles?

56°, 124°

To solve this problem, we start by letting one angle be represented as \( x \). Because one angle is 68° more than the other, we can express the second angle as \( x + 68° \).

Since the two angles are supplementary, their measures must add up to 180°. Therefore, we can set up the equation:

\[

x + (x + 68°) = 180°

\]

This simplifies to:

\[

2x + 68° = 180°

\]

Next, we subtract 68° from both sides of the equation to isolate the terms with \( x \):

\[

2x = 180° - 68°

\]

\[

2x = 112°

\]

Now, divide both sides by 2 to solve for \( x \):

\[

x = 56°

\]

This gives us the measure of the first angle as 56°. To find the measure of the second angle, we substitute \( x \) back into the expression for the second angle:

\[

x + 68° = 56° + 68° = 124°

\]

Thus, the two angles are 56° and 124°.

The measures of

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68°, 112°

72°, 108°

77°, 103°

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