Question

The difference between the measures of two angles of a linear pair is 80°. Find
the measure of each angle.

Answer 1

For diagram see the attached photo.

Given :-

• The difference between the measure of two angles of a linear pair is 80°

To Find :-

• Find the measure of each angle

Answer :-

• The measure of another angle = 100°

Explanation :-

• A linear pair of angles is formed when two lines intersect.
• Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
• The measure of a straight angle is 180 degrees.
• so, a linear pair of angles must add up to 180 degrees.
• Hence, A0B = 180°

• AOB = AOC + COB
• 180° = AOC + 80°
• 180° - 80° = AOC
• 100° = AOC
• AOC = 100°

I hope it helps you ❤️✔️