In a transversal intersecting two parallel lines, if one angle measures 110°, wh

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Question: In a transversal intersecting two parallel lines, if one angle measures 110°, what is the measure of the adjacent angle?

Options:

Correct Answer: 70°

Solution:

Adjacent angles are supplementary, so the adjacent angle measures 180° - 110° = 70°.

In a transversal intersecting two parallel lines, if one angle measures 110°, what is the measure of the adjacent angle?

In a transversal intersecting two parallel lines, if one angle measures 110°, what is the measure of the adjacent angle?

Step 1: Understand that adjacent angles are angles that are next to each other and share a common side.
Step 2: Know that adjacent angles formed by a transversal intersecting two parallel lines are supplementary, which means they add up to 180°.
Step 3: Since one angle measures 110°, you can find the adjacent angle by subtracting 110° from 180°.
Step 4: Calculate the adjacent angle: 180° - 110° = 70°.
Step 5: Conclude that the measure of the adjacent angle is 70°.

Adjacent Angles – Adjacent angles are two angles that share a common side and vertex, and they are supplementary when formed by a transversal intersecting parallel lines.
Supplementary Angles – Supplementary angles are two angles whose measures add up to 180°.