Angles in Inscribed Quadrilaterals

This video tutorial explains the concept of inscribed quadrilaterals, where all four vertices lie on a circle. It highlights the property that opposite angles in such quadrilaterals are supplementary, meaning they add up to 180 degrees. The video provides step-by-step examples to solve for unknown angles using this property, including solving for angles X, Y, T, and P. It also covers solving for angles using algebraic expressions and emphasizes checking work by ensuring the sum of all angles equals 360 degrees. The tutorial encourages viewers to practice problems independently.

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

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If one angle in an inscribed quadrilateral is 84 degrees, what is the measure of its opposite angle?

• 180 degrees

• 106 degrees

• 84 degrees

• 96 degrees

How do you find the measure of an unknown angle in an inscribed quadrilateral?

• Subtract from 360 degrees

• Multiply adjacent angles

• Add opposite angles to equal 180 degrees

• Add up adjacent angles

What is the result when the angle measures of 78 degrees and 102 degrees are added?

• 150 degrees

• 200 degrees

• 160 degrees

• 180 degrees

In solving for angle measures, what is the first step when given expressions for angles?

• Add the expressions

• Divide the expressions

• Set the sum of opposite angles to 180

• Subtract the smallest expression

What is the value of x if 17x - 30 and 2x + 20 are supplementary angles?

• 20

• 10

• 5

• 15

After finding x as 10, what is the measure of the angle represented by 2x + 20?

• 40 degrees

• 60 degrees

• 30 degrees

• 50 degrees

What is the measure of the angle represented by 17x - 30 when x is 10?

• 160 degrees

• 150 degrees

• 130 degrees

• 140 degrees

If the angle measure 7y - 10 is supplementary to y + 30, what is the value of y?

• 30

• 50

• 20

• 40

What should be the sum of all angles in any quadrilateral?

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees