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Two lines intersect at a point. If the measure of one angle is 70 degrees, what

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Question: Two lines intersect at a point. If the measure of one angle is 70 degrees, what is the measure of the adjacent angle? (2021)

Options:

  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 110 degrees

Exam Year: 2021

Solution: 

Adjacent angles formed by intersecting lines are supplementary. Therefore, 180 - 70 = 110 degrees.

Two lines intersect at a point. If the measure of one angle is 70 degrees, what

Practice Questions

Q1
Two lines intersect at a point. If the measure of one angle is 70 degrees, what is the measure of the adjacent angle? (2021)
  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

Two lines intersect at a point. If the measure of one angle is 70 degrees, what is the measure of the adjacent angle? (2021)
  • Step 1: Understand that when two lines intersect, they form four angles.
  • Step 2: Identify that adjacent angles (angles next to each other) are formed by these intersecting lines.
  • Step 3: Know that adjacent angles are supplementary, which means they add up to 180 degrees.
  • Step 4: If one angle measures 70 degrees, you can find the adjacent angle by subtracting 70 from 180.
  • Step 5: Calculate 180 - 70 to find the measure of the adjacent angle.
  • Adjacent Angles – Adjacent angles are angles that share a common vertex and a common side, and they are formed when two lines intersect.
  • Supplementary Angles – Supplementary angles are two angles whose measures add up to 180 degrees.
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