Inscribed Angles and Arcs

This video tutorial covers the concepts of central and inscribed angles, explaining their definitions and theorems. It provides examples and problem-solving exercises involving angles in circles, including triangles and quadrilaterals. The central angle theorem is highlighted, and the video concludes with a summary and a call to action for viewers to subscribe.

What is the measure of a central angle in relation to its intercepted arc?

• It is half the measure of the intercepted arc.

• It is equal to the measure of the intercepted arc.

• It is unrelated to the intercepted arc.

• It is twice the measure of the intercepted arc.

If a central angle measures 88 degrees, what is the measure of its intercepted arc?

• 44 degrees

• 22 degrees

• 88 degrees

• 176 degrees

How is the measure of an inscribed angle related to its intercepted arc?

• It is equal to the intercepted arc.

• It is twice the intercepted arc.

• It is unrelated to the intercepted arc.

• It is half the intercepted arc.

If an inscribed angle measures 44 degrees, what is the measure of its intercepted arc?

• 88 degrees

• 176 degrees

• 44 degrees

• 22 degrees

What is the measure of angle MAS if its intercepted arc MS measures 50 degrees?

• 25 degrees

• 50 degrees

• 75 degrees

• 100 degrees

In a circle, if the intercepted arc of an inscribed angle measures 62 degrees, what is the measure of the inscribed angle?

• 62 degrees

• 31 degrees

• 124 degrees

• 93 degrees

What is the sum of the measures of the central angles of a circle?

• 270 degrees

• 540 degrees

• 180 degrees

• 360 degrees

If a quadrilateral is inscribed in a circle, what is true about its opposite angles?

• They are complementary.

• They are supplementary.

• They are equal.

• They are congruent.

What is the measure of angle EBT if angle EAT measures 131 degrees?

• 98 degrees

• 180 degrees

• 131 degrees

• 49 degrees

If angle BTA is opposite to angle BEA and measures 132 degrees, what is the measure of angle BEA?

• 48 degrees

• 132 degrees

• 180 degrees

• 96 degrees