Angles — Quiz 4

Questions in this quiz (7)

1. The measure of angle $$P$$ is $$\frac{3\pi}{4}$$ radians. The measure of angle $$Q$$ is $$\frac{\pi}{6}$$ radians greater than the measure of angle $$P$$. What is the measure of angle $$Q$$, in degrees?

   • 120
   • 144
   • 165
   • 160

2. The interior angles of a pentagon are in the ratio $$2 : 3 : 4 : 5 : 6$$. What is the measure of the smallest angle in degrees?

   • $$72^\circ$$
   • $$60^\circ$$
   • $$54^\circ$$
   • $$48^\circ$$

3. How many degrees will the hour hand of a clock rotate between $$3:20 PM$$ and $$6:45 PM$$ on the same day?

   • $$90^\circ$$
   • $$150.75^\circ$$
   • $$100.5^\circ$$
   • $$102.5^\circ$$

4. In the figure, $$RT=TU$$. The angle at $$T$$ between $$RT$$ and $$TU$$ is 106 degrees, and the angle between $$SR$$ and $$ST$$ is 32 degrees. Find the value of $$x$$, the angle between $$SR$$ and $$RU$$ at $$V$$.

   • $$69^\circ$$
   • $$39^\circ$$
   • $$37^\circ$$
   • $$53^\circ$$

5. In the figure, lines p and q are parallel and are cut by two transversals. Angles are labeled 1 through 9 as shown. Determine which of the following statements must be true.I. $$m∠2=m∠9$$II. $$m∠2+m∠4=180$$III. $$m∠4+m∠8=m∠5$$

   • I only
   • I and II only
   • I and III only
   • I, II, and III

6. In the figure shown below, determine the measure of 7x.

   • $$210^\circ$$
   • $$130^\circ$$
   • $$120^\circ$$
   • $$110^\circ$$

7. The figure below shows two isosceles triangles that share the central vertex. Given z=150 and w=2y, find x.

   • $$150$$
   • $$120$$
   • $$130$$
   • $$140$$