Question

If angle 1 and angle 2 form a linear pair and angle 1 is less than five times the measure of angle 2 find x and angle 1

Answer 1

Angle 1 is 30° and angle 2 is 150°

Explanation:

• 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.

Let angle 1 is a, angle 2 is b and we got b = 5a

• a + b = 180°
• b = 5a

• a + 5a = 6a
• 6a = 180°
• a = 180°/6
• a = 30°

and

• b = 5*30° = 150°