Supplementary Angles and Algebraic Solutions

This video tutorial covers the concept of inscribed quadrilaterals, focusing on the inscribed quadrilateral theorem, which states that opposite angles of a quadrilateral inscribed in a circle are supplementary. The video includes two examples demonstrating how to solve for unknown angles using algebra and the theorem. The tutorial concludes with a practice problem for students to apply their learning.

What does it mean for angles to be supplementary?

• They add up to 90 degrees.

• They are equal.

• They add up to 180 degrees.

• They are complementary.

What is the inscribed quadrilateral theorem?

• Opposite angles are supplementary.

• The sum of all angles is 360 degrees.

• All angles are right angles.

• Opposite angles are equal.

If angle D is 120 degrees in an inscribed quadrilateral, what is angle B?

• 60 degrees

• 180 degrees

• 120 degrees

• 90 degrees

How do you solve for an angle using algebra in an inscribed quadrilateral?

• Multiply the angles by 2.

• Add the angles and set equal to 360.

• Use algebraic expressions to set opposite angles equal to 180.

• Subtract the angles from 180.

What is the value of y if 15y + 17 and 5y + 3 are supplementary?

• y = 6

• y = 12

• y = 8

• y = 10

In the example, what is the measure of angle QRS if y = 8?

• 180 degrees

• 90 degrees

• 137 degrees

• 43 degrees

What is the first step in solving for x in the example with angles mjk and MLK?

• Subtract the constant terms.

• Divide by the coefficient of x.

• Combine like terms.

• Set the sum of angles to 90 degrees.

If x = 12, what is the measure of angle mjk?

• 57 degrees

• 100 degrees

• 80 degrees

• 123 degrees

What is the measure of angle MLK if x = 12?

• 100 degrees

• 123 degrees

• 80 degrees

• 57 degrees

What should you do if you have questions after watching the video?

• Ignore them.

• Search online.

• Ask the teacher.

• Rewatch the video.