Solve Two Pairs of Angles Problems

Let us see about solve two pairs of angles problems in this article. Two lines are intersecting to make a two pair of angle. Two lines sharing the common end point is representing as angle. The word angle is derived form the Latin word. In Geometry angle is the one of the figure. In two pair of angle opposite angle are same and parallel.
Two Pairs of Angle:

There are several types of two pairs of angles is available for the geometry. These are

Complementary angle
Supplementary angle
Vertical angle

Example Diagram for Solve Two Pairs of the Angles Problems:

Pair of complementary angle:

The sum of the two angle measurement is equal to 90 is called as complementary angle.

example figure for two pair of the angles

Pair of supplementary angle:

The sum of the two angle measurement is equal to 180 is calling as complementary angle.

example figure for supplementary pair of angles

Pair of vertical angle:

One line crossed by another line is formed by the intersecting is said to be vertical angle.

example figure for vertical pair of angles
Example 1: Solve Two Pairs of Angles Problems:

In the given diagram find the unknown value of the a, b, c.

example for two pair of angle diagram

Solution:

Step 1: angle x is supplement of 80°

Step 2: a + 80° = 180°

a = 180° - 80°

a = 100°

Step 3: In this diagram angle c and 100° are vertical angles.

So, angle c = 100°

Step 4; In this diagram angle b and 80° are vertical angle

So, angle b = 80°

Step 5:

a = 100°

b = 80°

c = 100°


Example 2: Solve Two Pairs of Angles Problems:

In complementary angle, angle A is 37 degree calculate the unknown angle

Solution:

Step 1: Total angle measurement of the complementary angle is 37°

Step 2: Given angle is A = 37°

Step 3: Subtracting given angle measurement from total angle measurement of complementary angle. 90° - 37° = 53°

Step 4: Unknown angle is 53°