Angles (protractor, unknown angles) Knowledge-Based Download PDF

Questions

1. 1.

   Two straight lines $AB$ and $CD$ intersect at point $O$. If the sum of the measures of vertically opposite angles $\angle AOC$ and $\angle BOD$ is $148^\circ$, what is the measure of $\angle AOD$?

   • A) $74^\circ$
   • B) $96^\circ$
   • C) $106^\circ$
   • D) $116^\circ$
2. 2.

   Two angles are complementary, and the measure of one angle is 18° greater than twice the measure of the other angle. What is the measure of the larger angle?

   • A) 24°
   • B) 66°
   • C) 54°
   • D) 72°
3. 3.

   A protractor is placed with its center at vertex $V$ of angle $AVB$. If ray $VA$ passes through the $38^\circ$ mark and ray $VB$ passes through the $115^\circ$ mark on the same scale, what is the measure of angle $AVB$?

   • A) $77^\circ$
   • B) $115^\circ$
   • C) $103^\circ$
   • D) $153^\circ$
4. 4.

   Three angles meet at a single point and completely fill the space around it without overlapping. If two of the angles measure $125^\circ$ and $140^\circ$, what is the measure of the third angle?

   • A) $85^\circ$
   • B) $90^\circ$
   • C) $95^\circ$
   • D) $105^\circ$
5. 5.

   Two angles lie on a straight line and form a linear pair. If one angle measures $3x + 15^\circ$ and the other angle measures $2x + 25^\circ$, what is the measure of the smaller angle?

   • A) $28^\circ$
   • B) $81^\circ$
   • C) $99^\circ$
   • D) $109^\circ$