Exercise (Lines and Angles)

1. Two angles are complementary. If one angle measures 34⁰, what is the measure of the other angle?
2. Find the measure of an angle whose supplement is 125⁰
3. Two supplementary angles are in the ratio of 2 : 3. Find the measure of the larger angle.
4. Two lines intersect, forming opposite (vertical) angles. If one angle is represented by (3x + 15)⁰ and the opposite angle is (5x – 5)⁰, find the value of x and the measure of the angles.
5. Three angles meet at a single point on a straight line. If two of the angles measure 45⁰ and 85⁰, what is the measure of the third angle?
6. The measure of an angle is 24⁰ less than its complement. Find the measure of the angle.
7. Four angles surround a single point in a complete rotation (360⁰). Their measures are 80⁰, 100⁰, 110⁰, and x⁰. Find the value of x.
8. An angle has a measure that is twice the measure of its supplement. Find the measure of the angle.
9. If angle A and angle B are complementary, and angle A = (4x) ⁰ and angle B = (5x)⁰, what is the exact measure of angle A?
10. Two lines intersect at a point. If one of the vertical angles formed is 72⁰, what are the measures of the other three angles surrounding that intersection point?