Geometry Quiz on Arcs and Angles

What is the primary assumption made about lines that appear to be diameters in the worksheet?

• They are assumed to be diameters.

• They are not diameters.

• They are half the length of a diameter.

• They are twice the length of a radius.

How is the measure of arc CFD calculated?

• By dividing the circle into four equal parts.

• By subtracting the measure of arc BF from 360 degrees.

• By doubling the measure of arc CB.

• By adding the measures of arcs CB, BF, FE, and ED.

What is the measure of angle SPQ if the circle's total is 360 degrees and angles SPT and TPU are congruent?

• 120 degrees

• 146 degrees

• 180 degrees

• 90 degrees

What is the measure of arc EFC if EF is 54 degrees and BF is 126 degrees?

• 234 degrees

• 306 degrees

• 360 degrees

• 180 degrees

What is the measure of angle MIJ if angle JIK is 55 degrees?

• 140 degrees

• 135 degrees

• 130 degrees

• 125 degrees

In problem 15, what is the value of X if the equation is 180 = 140 + 6X - 8?

• 12

• 10

• 8

• 6

In problem 16, what is the value of X if the equation is 180 = 2(X + 93)?

• 3

• 0

• -6

• -3

What is the measure of arc WV if X is found to be 11?

• 60 degrees

• 80 degrees

• 70 degrees

• 50 degrees

How do you solve for X in the equation 360 = -37X + 2 + (-27X - 3) + (-27X - 3)?

• By adding all terms and dividing by the coefficient of X.

• By setting X to zero.

• By subtracting 360 from both sides.

• By multiplying all terms by 2.

What is the measure of angle VST if X is -4?

• 110 degrees

• 120 degrees

• 105 degrees

• 115 degrees