In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of th

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Question: In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of the opposite angle?

Options:

100 degrees
80 degrees
90 degrees
70 degrees

Correct Answer: 100 degrees

Solution:

In a cyclic quadrilateral, the opposite angles are supplementary. Therefore, if one angle is 80 degrees, the opposite angle is 180 - 80 = 100 degrees.

In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of th

Practice Questions

In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of the opposite angle?

100 degrees
80 degrees
90 degrees
70 degrees

Questions & Step-by-Step Solutions

In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of the opposite angle?

Step 1: Understand what a cyclic quadrilateral is. It is a four-sided figure where all vertices lie on a circle.
Step 2: Know that in a cyclic quadrilateral, opposite angles add up to 180 degrees. This means they are supplementary.
Step 3: Identify the given angle, which is 80 degrees.
Step 4: Use the property of opposite angles. To find the opposite angle, subtract the given angle from 180 degrees.
Step 5: Calculate the opposite angle: 180 - 80 = 100 degrees.
Step 6: Conclude that the measure of the opposite angle is 100 degrees.

Cyclic Quadrilateral Properties – In a cyclic quadrilateral, the sum of opposite angles is always 180 degrees.

In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of th

What’s inside this PDF?

In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of th

Practice Questions

Questions & Step-by-Step Solutions

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