Angles (protractor, unknown angles) Knowledge-Based Practice

Questions

1. 1.

   Two angles are complementary. If the measure of one angle is $14^\circ$ more than three times the measure of the other angle, what is the measure of the larger angle?

   • A) $19^\circ$
   • B) $38^\circ$
   • C) $63^\circ$
   • D) $71^\circ$
2. 2.

   On a protractor, ray $VA$ passes through the $26^\circ$ mark, ray $VC$ passes through the $164^\circ$ mark on the same scale, and ray $VB$ lies between them. If the measure of angle $AVB$ is $18^\circ$ less than the measure of angle $BVC$, what is the measure of angle $BVC$?

   • A) $60^\circ$
   • B) $69^\circ$
   • C) $87^\circ$
   • D) $78^\circ$
3. 3.

   Four angles share a common vertex and completely surround a point without overlapping. If one angle is a right angle and two of the other angles measure $85^\circ$ and $115^\circ$, what is the measure of the fourth angle?

   • A) $60^\circ$
   • B) $160^\circ$
   • C) $80^\circ$
   • D) $70^\circ$
4. 4.

   Two straight lines intersect to form four angles around a common vertex. If the sum of the two vertically opposite acute angles is $76^\circ$, what is the measure of one of the adjacent obtuse angles?

   • A) $104^\circ$
   • B) $128^\circ$
   • C) $138^\circ$
   • D) $142^\circ$
5. 5.

   Three adjacent angles lie along a straight line and share a common vertex. If one angle measures $54^\circ$ and the other two angles are in the ratio $3 : 4$, what is the measure of the largest angle?

   • A) $54^\circ$
   • B) $63^\circ$
   • C) $68^\circ$
   • D) $72^\circ$

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