Exploring Inscribed Angles

What is the measure of an inscribed angle compared to its intercepted arc?

• Twice the measure of the intercepted arc

• Equal to the measure of the intercepted arc

• Half the measure of the intercepted arc

• One fourth the measure of the intercepted arc

If an inscribed angle intercepts a diameter, what type of angle is it?

• Straight angle

• Right angle

• Obtuse angle

• Acute angle

When two inscribed angles intercept the same arc, how do their measures relate?

• They are not related

• They are complementary

• They are congruent

• They are supplementary

How do you find the measure of an arc if you know the measure of the inscribed angle?

• Subtract the angle measure from 180

• Add 180 to the angle measure

• Divide the angle measure by 2

• Multiply the angle measure by 2

In an inscribed quadrilateral, how do opposite angles relate to each other?

• They are complementary

• They are supplementary

• They are congruent

• They are not related

If one angle in an inscribed quadrilateral is 92 degrees, what is the measure of its opposite angle?

• 92 degrees

• 88 degrees

• 98 degrees

• 180 degrees

What is the measure of angle R if its inscribed arc measures 216 degrees?

• 432 degrees

• 54 degrees

• 216 degrees

• 108 degrees

How can you find the measure of an angle in an inscribed quadrilateral if you know the arc measures?

• Subtract the arc measures from 180 and divide by 2

• Add the arc measures and divide by 4

• Subtract the arc measures from 360 and divide by 2

• Add the arc measures and divide by 2

If angle D is formed by arcs measuring 39 and 61 degrees, what is the measure of angle D?

• 50 degrees

• 61 degrees

• 100 degrees

• 39 degrees

To solve for x in the equation 9x - 5 + 68 = 180, what is the first step?

• Subtract 68 from both sides

• Add 5 to both sides

• Multiply both sides by 9

• Divide both sides by 9