Angles — Geometry & Measurement

Questions in this quiz (7)

1. In figure $$ABCD$$, the opposite sides are parallel. The measure of $$\angle B$$ is: $$110^\circ$$ What is the measure of $$\angle A$$?

   • $$100^\circ$$
   • $$110^\circ$$
   • $$70^\circ$$
   • $$65^\circ$$

2. In trapezoid $$EFGH$$, angles $$E$$ and $$G$$ are right angles, and sides $$EF$$ and $$GH$$ are parallel. Angle $$F$$ is $$20^\circ$$ more than three times the measure of $$\angle H$$. What is the measure of $$\angle F$$?

   • $$40^\circ$$
   • $$120^\circ$$
   • $$140^\circ$$
   • $$180^\circ$$

3. In figure $$RSUT$$, the opposite sides are parallel. Angles $$T$$ and $$U$$ are right angles. What is the measure of $$\angle R$$?

   • $$5^\circ$$
   • $$20^\circ$$
   • $$90^\circ$$
   • $$270^\circ$$

4. A four-sided plane figure has sides measuring $$10,\ 15,\ 10,\text{ and }15.$$ The opposite angles are equal, but there are no right angles. What is the figure?

   • rhombus
   • rectangle
   • parallelogram
   • trapezoid

5. In $$\triangle ABC$$, $$\angle A$$ measures $$55^\circ$$ and $$\angle B$$ measures $$100^\circ$$. What is the measure of $$\angle C$$?(Express your answer as a whole number with no characters.)

   • 25

6. In the figure, diagonal $$AC$$ divides the quadrilateral into triangles $$ABC$$ and $$ACD$$. The following information is given: $$AB=14\text{ cm}$$ $$m\angle DAC=55^\circ$$ $$m\angle DCA=35^\circ$$ $$m\angle DAB=115^\circ$$ $$m\angle DCB=95^\circ$$ What is the length of side $$AC$$, in centimeters?

   • $$6$$
   • $$14$$
   • $$18$$
   • $$22$$

7. One angle in a scalene triangle measures $$38^\circ$$, and another angle measures $$56^\circ$$. What is the measure of the third angle?

   • $$38^\circ$$
   • $$56^\circ$$
   • $$86^\circ$$
   • $$124^\circ$$