Lines & Angles & Triangles — Geometry and Trigonometry

Questions in this quiz (10)

1. In triangle $$ABC$$, the measure of angle $$A$$ is $$47$$ degrees. Which of the following could be the measure, in degrees, of angle $$C$$?

   • $$135$$
   • $$133$$
   • $$95$$
   • $$157$$

2. In the figure, two lines intersect at a point. If $$a=36^\circ$$, what is the value of $$b$$?

   • $$144^\circ$$
   • $$36^\circ$$
   • $$54^\circ$$
   • $$126^\circ$$

3. In the figure, line $$m$$ is parallel to line $$n$$ and line $$l$$ intersects both lines. Angle $$c$$ is $$128°$$.What is the value of $$b+c$$?

   • $$128$$
   • $$52$$
   • $$152$$
   • $$180$$

4. In the triangle above, the three interior angles $$A$$, $$B$$, $$C$$ measure $$3x°$$, $$y°$$, and $$28°$$. If $$x = 40$$, what is the value of $$y$$?

   • $$40$$
   • $$32$$
   • $$120$$
   • $$92$$

5. In the figure above, segments $$AE$$ and $$BD$$ are parallel. If angle $$BDC$$ measures $$47^\circ$$ and angle $$ACE$$ measures $$71^\circ$$, what is the measure of angle $$$CAE$$?

   • $$47^\circ$$
   • $$59^\circ$$
   • $$62^\circ$$
   • $$71^\circ$$

6. Angles $$A$$ and $$B$$ are complementary. If $$A=(3x-11)^\circ$$ and $$B=(x+7)^\circ$$ what is the measure of angle $$B$$?

   • $$30.5^\circ$$
   • $$24.5^\circ$$
   • $$20.5^\circ$$
   • $$25.5^\circ$$

7. How many degrees are in an angle that measures $$\frac{5\pi}{6}$$ radians?

   • $$175$$
   • $$165$$
   • $$150$$
   • $$145$$

8. If the perimeter of the equilateral triangle $$ABC$$ is $$33$$ units, what is the length of side $$BC$$?

   • $$9$$
   • $$10$$
   • $$11$$
   • $$13$$

9. In the isosceles triangle $$DEF$$, $$DE = DF$$, and the measure of angle $$E$$ is $$64$$ degrees. What is the measure of angle $$D$$?

   • $$52^\circ$$
   • $$64^\circ$$
   • $$26^\circ$$
   • $$36^\circ$$

10. Triangles $$ABC$$ and $$DEF$$ are similar. If the length of $$AB$$ is $$12$$, the length of $$DE$$ is $$4$$, and the length of $$EF$$ is $$6$$, what is the length of $$BC$$?

    • $$6$$
    • $$18$$
    • $$9$$
    • $$12$$