Math Problem Set · Grade 7
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Q1. Two angles are supplementary. One angle measures $50^\circ$ and the other measures $(2x + 10)^\circ$. Write and solve an equation to find $x$.
Answer: $x = 60$
Q2. Two angles are complementary. Their measures are $(3x)^\circ$ and $(x + 18)^\circ$. Find $x$, then find the measure of each angle.
Answer: $x = 18$; the angles measure $54^\circ$ and $36^\circ$
Q3. Two lines intersect. A pair of vertical angles measure $(4x - 12)^\circ$ and $(2x + 30)^\circ$. Write and solve an equation to find $x$. Then find the measure of one of these angles.
Answer: $x = 21$; each angle measures $72^\circ$
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