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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°

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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