Solve for the value of x and y using congruent inscribed angles

The video tutorial covers the concept of inscribed angles in geometry, explaining how the measure of an inscribed angle is related to the arc it intercepts. It demonstrates that inscribed angles sharing the same arc are equal. The tutorial includes solving equations for variables X and Y using these principles, reinforcing the understanding of equal inscribed angles and shared arcs.

What is the relationship between an inscribed angle and its arc measure?

• The arc measure is half the inscribed angle.

• The arc measure is double the inscribed angle.

• The arc measure is triple the inscribed angle.

• The arc measure is equal to the inscribed angle.

If two inscribed angles share the same endpoints, what can be said about their measures?

• They are equal.

• They are supplementary.

• They are unrelated.

• They are complementary.

In the equation 5X + 9 = 6X, what is the value of X?

• X = 3

• X = 6

• X = 5

• X = 9

What is the first step to solve the equation 6Y - 1 = 3Y + 8?

• Multiply both sides by 2.

• Add 1 to both sides.

• Divide both sides by 3.

• Subtract 3Y from both sides.

What is the final value of Y in the equation 6Y - 1 = 3Y + 8?

• Y = 3

• Y = 4

• Y = 2

• Y = 1