Exploring Inscribed Quadrilaterals in Circles

The video tutorial covers inscribed quadrilaterals, explaining that their opposite angles are supplementary, meaning they sum to 180 degrees. It provides examples of calculating angle measures in such quadrilaterals, including using variables to solve equations. The tutorial also delves into more complex problems involving inscribed angles and arc measures, demonstrating how to work backwards to find unknown angles. The video encourages viewers to try solving problems on their own, reinforcing the concepts taught.

What does the term 'supplementary' mean in the context of angles?

• Angles that are opposite to each other

• Angles that add up to 180 degrees

• Angles that are adjacent to each other

• Angles that add up to 90 degrees

If one angle in an inscribed quadrilateral is 70 degrees, what is its opposite angle?

• 100 degrees

• 110 degrees

• 70 degrees

• 180 degrees

What is the supplementary angle to 87 degrees?

• 93 degrees

• 103 degrees

• 90 degrees

• 87 degrees

In a quadrilateral inscribed in a circle, if one angle measures 45 degrees, what is its opposite angle?

• 135 degrees

• 145 degrees

• 90 degrees

• 180 degrees

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

• Subtract the arc from 180

• Divide the arc by 2

• Add 180 to the arc

• Multiply the arc by 2

If angle p is opposite to angle r and angle r measures 108 degrees, what is the measure of angle p?

• 72 degrees

• 90 degrees

• 108 degrees

• 180 degrees

If the sum of the arcs is 216 degrees, what is the measure of the inscribed angle?

• 108 degrees

• 103 degrees

• 110 degrees

• 100 degrees

What is the result of 9x - 5 + 68 when set equal to 180?

• x equals 13

• x equals 15

• x equals 10

• x equals 12

In the equation 5x + 1 + 13x - 37 = 180, what is the value of x?

• 12

• 13

• 15

• 14

What is the measure of angle y when x equals 12 in the equation 13x - 37?

• 119 degrees

• 121 degrees

• 125 degrees

• 123 degrees