Exploring Inscribed Quadrilaterals in Circles

This video tutorial covers the concept of inscribed quadrilaterals in circles, focusing on their properties, such as opposite angles being supplementary. Through examples, it demonstrates how to find missing variables in these quadrilaterals by applying the supplementary angle property and calculating angles using intercepted arcs.

What is the sum of the opposite angles in an inscribed quadrilateral?

• 180 degrees

• 270 degrees

• 90 degrees

• 360 degrees

If one angle in an inscribed quadrilateral is 80 degrees, what is the measure of its opposite angle?

• 100 degrees

• 180 degrees

• 10 degrees

• 80 degrees

What is the sum of all angles in any quadrilateral?

• 90 degrees

• 360 degrees

• 270 degrees

• 180 degrees

How do you find the value of 'X' when given the arc measures intercepted by an inscribed angle?

• Add the arc measures and divide by 2

• Multiply the arc measures and divide by 2

• Subtract the smaller arc from the larger and divide by 2

• Add the arc measures and multiply by 2

How do you find the measure of an inscribed angle when given the measures of the arcs it intercepts?

• Divide the measures and multiply by 2

• Multiply the measures and divide by 2

• Subtract the measures and divide by 2

• Add the measures and divide by 2

What is the value of 'Y' if it is supplementary to an 82-degree angle in an inscribed quadrilateral?

• 92 degrees

• 180 degrees

• 82 degrees

• 98 degrees

In an inscribed quadrilateral, if one angle is 93 degrees, what is the measure of its supplementary angle?

• 97 degrees

• 87 degrees

• 93 degrees

• 180 degrees

To solve for 'X' in the equation 105 + 7X + 1 = 180, what is the first step?

• Add 1 to 105

• Divide both sides by 7

• Multiply 7 by X

• Subtract 105 from 180

After simplifying the equation for 'X', what is the next step to solve 106 + 7X = 180?

• Add 106 to both sides

• Subtract 106 from 180

• Multiply both sides by 7

• Divide both sides by 7

What is the value of 'Y' when the equation is 11Y + 15 = 180?

• 15

• 165

• 175

• 11