Geometry Angles and Arcs Quiz

What is the measure of the arc FG if the tangent line FE is 180 degrees and the angle formed is 104 degrees?

• 208 degrees

• 104 degrees

• 76 degrees

• 180 degrees

In a quadrilateral formed by tangent lines and radii, what is the sum of the angles?

• 90 degrees

• 270 degrees

• 360 degrees

• 180 degrees

If angle SRQ is formed by a secant and a tangent, and the arc QR is 146 degrees, what is the measure of angle SRQ?

• 292 degrees

• 146 degrees

• 73 degrees

• 36.5 degrees

What is the measure of the central angle if the arc length is 120 degrees?

• 60 degrees

• 120 degrees

• 90 degrees

• 180 degrees

How do you calculate the missing angle in a quadrilateral formed by tangent lines and radii?

• Divide the sum of known angles by 2

• Multiply the known angles

• Add all angles

• Subtract the sum of known angles from 360 degrees

What is the measure of angle MLK if the intercepted arc LK is 130 degrees?

• 260 degrees

• 65 degrees

• 195 degrees

• 130 degrees

How do you find the measure of arc PS if the intersection occurs outside the circle?

• Take half the difference of arcs

• Add the arcs

• Take half the sum of arcs

• Double the difference of arcs

What is the missing angle in a quadrilateral if the sum of the other angles is 290 degrees?

• 70 degrees

• 90 degrees

• 110 degrees

• 360 degrees

If the difference between arcs NK and MK is 68 degrees, what is the measure of angle L?

• 136 degrees

• 68 degrees

• 34 degrees

• 102 degrees

What is the relationship between a central angle and its intercepted arc?

• They are equal

• The angle is half the arc

• The angle is double the arc

• They are unrelated