Answer:
<em>Answers below</em>
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect.
Two angles are linear if they are adjacent angles formed by two intersecting lines.
Since the measure of a straight angle is 180°, a linear pair of angles must add up to 180°.
1. Two angles that add up to 180° are called supplementary.
2. The image shows a linear pair of angles. On the left side, the angle measures 2x, on the right side, the angle measures x+30. Since the sum is 180°:
2x + x + 30 = 180
Simplifying:
3x + 30 = 180
Subtracting 30:
3x = 180 - 30 = 150
Dividing by 3=
x = 150 / 3 = 50
x = 50°
3. The angle on the left is 2x = 100°
Angle measure on the left = 100°
4. The angle on the right is x+30 = 80°
Angle measure on the right = 80°
