7th Grade Angle Relationships and Equations Quiz: 10 Questions with Explanations

A \(153^{\circ}\)B \(63^{\circ}\)C \(27^{\circ}\)D \(117^{\circ}\)

\(90 – 27 = 63\). The value 153 is the supplement.

A \(75^{\circ}\)B \(15^{\circ}\)C \(255^{\circ}\)D \(105^{\circ}\)

\(180 – 105 = 75\).

A \(40^{\circ}\)B \(140^{\circ}\)C \(50^{\circ}\)D \(320^{\circ}\)

Vertical angles are equal. The adjacent angles are 140.

A \(x + 58 = 90\)B \(x = 58\)C \(x + 58 = 360\)D \(x + 58 = 180\)

Supplementary angles add to 180.

A 20B 15C 30D 40

\(2x + 10 = 50\), so \(2x = 40\) and \(x = 20\).

A \(105^{\circ}\)B \(75^{\circ}\)C \(255^{\circ}\)D \(15^{\circ}\)

\(60 + 45 + x = 180\), so \(x = 75\).

A \(45^{\circ}\)B \(60^{\circ}\)C \(30^{\circ}\)D \(20^{\circ}\)

\(k + 2k = 90\), so \(k = 30\).

A \(180^{\circ}\)B \(360^{\circ}\)C \(90^{\circ}\)D \(270^{\circ}\)

A full turn is 360 degrees.

A \(60^{\circ}\)B \(30^{\circ}\)C \(90^{\circ}\)D \(45^{\circ}\)

\(x + 3x = 180\), so \(4x = 180\) and \(x = 45\).

A Two angles forming a straight lineB Two vertical anglesC Two adjacent angles inside a right angleD Angles around a point

Adjacent angles inside a right angle are complementary.