Back to Tutor Intake Assessment: Use facts about supplementary, complementary, vertical, and adjacent angles to solve simple equations

7.G.B.5 Tutor Intake -- Angle Relationships and Equations

This short check helps your tutor see where to start. Work on your own,
without a calculator. If you're unsure, give your best try — the goal is
to find what to work on together, not to grade you.

Grade 7·7 problems·~10 min·Common Core Math - Grade 7·standard·7-g-b-5

Work through problems with immediate feedback

Concepts

Two angles share a vertex and a side, and do not overlap. What
are these two angles called?

Adjacent angles

Vertical angles

Complementary angles

Supplementary angles

Two angles are complementary. What must be true about their
measures?

They add up to 90 degrees.

They add up to 180 degrees.

They are equal to each other.

They add up to 360 degrees.

Procedures

Two supplementary angles measure $x$ degrees and 128 degrees.
Write the equation that represents this relationship (using $x$
and 128): ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲

equation:

Two lines intersect. One angle measures 65 degrees. What is the
measure of the angle VERTICAL to it, in degrees? Enter a number.

An angle measures $(4x + 10)$ degrees. Its vertical angle
measures $(6x - 14)$ degrees. What is the measure of the angle,
in degrees? (Not the value of $x$ — find the actual angle
measure.) Enter a number.

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