Angle relationships Knowledge-Based Practice

Questions

1. 1.

   Ray BD lies in the interior of right angle ABC, and ray BE bisects angle ABD. If the measure of angle EBC is 68°, what is the measure of angle DBC?

   • A) 22°
   • B) 34°
   • C) 46°
   • D) 56°
2. 2.

   Two parallel lines are cut by a transversal. If the measures of two consecutive interior angles are $(3x + 10)^\circ$ and $(5x - 30)^\circ$, what is the measure of the larger angle?

   • A) $95^\circ$
   • B) $85^\circ$
   • C) $70^\circ$
   • D) $25^\circ$
3. 3.

   The measure of the supplement of an angle is $24^\circ$ greater than three times the measure of its complement. What is the measure of the angle?

   • A) $57^\circ$
   • B) $33^\circ$
   • C) $48^\circ$
   • D) $66^\circ$
4. 4.

   Two intersecting lines form four angles at their point of intersection. If the sum of the measures of two non-adjacent angles is $116^\circ$, what is the measure of one of the obtuse angles formed by these lines?

   • A) $58^\circ$
   • B) $64^\circ$
   • C) $116^\circ$
   • D) $122^\circ$
5. 5.

   Two angles form a linear pair. If the measure of one angle is $36^\circ$ less than three times the measure of the other angle, what is the measure of the larger angle?

   • A) $54^\circ$
   • B) $108^\circ$
   • C) $126^\circ$
   • D) $144^\circ$

Answers and step-by-step solutions appear after you finish the test.