Angle sums Knowledge-Based Download PDF

Questions

1. 1.

   Two lines $AB$ and $CD$ intersect at point $E$. If the sum of the measures of $\angle AEC$ and $\angle BED$ is $154^\circ$, what is the measure of $\angle AED$?

   • A) $77^\circ$
   • B) $93^\circ$
   • C) $103^\circ$
   • D) $126^\circ$
2. 2.

   The measure of the supplement of an angle is $30^\circ$ greater than three times the measure of its complement. What is the measure of the angle?

   • A) $45^\circ$
   • B) $60^\circ$
   • C) $30^\circ$
   • D) $75^\circ$
3. 3.

   Two angles are complementary. If the measure of one angle is $18^\circ$ less than twice the measure of the other angle, what is the measure of the larger angle?

   • A) $36^\circ$
   • B) $54^\circ$
   • C) $66^\circ$
   • D) $72^\circ$
4. 4.

   Three adjacent angles lie on a straight line. If the second angle is $20^\circ$ greater than the first angle and the third angle is three times the first angle, what is the measure of the smallest angle?

   • A) $28^\circ$
   • B) $30^\circ$
   • C) $36^\circ$
   • D) $32^\circ$
5. 5.

   The measures of four angles meeting at a point are in the ratio $1 : 2 : 3 : 4$. What is the measure of the largest angle?

   • A) $36^\circ$
   • B) $72^\circ$
   • C) $108^\circ$
   • D) $144^\circ$