Angles — Quiz 3

Questions in this quiz (10)

1. Quadrilateral $$ABCD$$ has one right angle, and the other angles are labeled as follows:$$\angle B = 2x^\circ$$$$\angle C = 3x^\circ$$$$\angle D = 4x^\circ$$What is the value of $$x$$?

   • $$25^\circ$$
   • $$30^\circ$$
   • $$40^\circ$$
   • $$55^\circ$$

2. Which of these is the degree measure of each interior angle in a regular 15-sided polygon?

   • $$160^\circ$$
   • $$156^\circ$$
   • $$140^\circ$$
   • $$144^\circ$$

3. If three interior angles of a regular octagon are each $$140^\circ$$, what is the average value of the remaining five angles?

   • 210
   • 132
   • 180
   • 140

4. Which of these is the measure in radians of each interior angle of a regular decagon (10-sided polygon)?

   • $$\frac{3\pi}{5}$$
   • $$\frac{7\pi}{10}$$
   • $$\frac{4\pi}{5}$$
   • $$\frac{9\pi}{10}$$

5. In triangle $$XYZ$$, sides $$XY=XZ$$ and the measure of $$\angle Z=50^\circ$$. What is the measure of $$\angle X$$?

   • $$60^\circ$$
   • $$130^\circ$$
   • $$80^\circ$$
   • $$50^\circ$$

6. If the lengths of all three sides of a triangle are decreased by 50%, what percent changes occur in its angles?

   • $$50\%$$ change
   • $$25\%$$ change
   • $$0\%$$ change
   • $$10\%$$ change

7. A parallelogram has adjacent angles in the ratio $$1:2$$. What are the measures of the angles?

   • $$50^\circ, 100^\circ, 50^\circ, 100^\circ$$
   • $$60^\circ, 120^\circ, 60^\circ, 120^\circ$$
   • $$40^\circ, 80^\circ, 40^\circ, 80^\circ$$
   • $$55^\circ, 110^\circ, 55^\circ, 110^\circ$$

8. In a regular polygon, each interior angle measures $$150^\circ$$. How many sides does the polygon have?

   • 12
   • 10
   • 15
   • 18

9. In triangle XYZ, angle Y is twice the size of angle X, and angle Z is three times the size of angle X. Find all three angles.

   • $$30^\circ$$, $$60^\circ$$, $$90^\circ$$
   • $$40^\circ$$, $$50^\circ$$, $$80^\circ$$
   • $$20^\circ$$, $$40^\circ$$, $$80^\circ$$
   • $$15^\circ$$, $$30^\circ$$, $$45^\circ$$

10. In rectangle PQRS, what is $$a + b$$ in terms of $$x$$?

    • $$90 + x$$
    • $$180 - x$$
    • $$90 - x$$
    • $$180 + x$$