Showing posts with label Solving Angles. Show all posts
Showing posts with label Solving Angles. Show all posts

Monday, December 24, 2012

Method for Solving Angles

Introduction:

Method for solving angles is the important chapter in geometry.  There is more number of properties in geometry. With the help of the properties of the geometry we can solve the angles. Here we have to discuss about complementary angles and supplementary angles and triangle properties with solved example problems. Understanding Scalene Triangle Formulas is always challenging for me but thanks to all math help websites to help me out.

Important Property Methods in Geometry

They are

Method 1: The sum of angles in the triangle is equal to 180 degree.

Method 2: The sum of the complementary angles is equal to 90 degree.

Method 3: The sum of the supplementary angles is equal to 180 degree.

Solving Problems Based on the above Methods
Example 1:

If one of two angles in the triangle have 75 degree and 65 degree. Solve the another angle.

Solution:

We know that the method has

The sum of angles in the triangle is equal to 180 degree.

Here the two triangle measures 75 degree and 65 degree.

Consider another angle be x

Therefore x+ 75 + 65 =180

Adding this we can get,

X+140 =180

Subtracting 140 on both sides we can get

X = 40 degree.

Therefore another angle of the triangle is 40 degree.

Example 2:

If one of the complementary angles is equal to 48 degree. Solve the measure of another complementary angle.

Solution:

We know that the method has

The sum of the complementary angles is equal to 90 degree.

We can consider another angle be x.

Therefore x + 48 = 90

Subtracting 48 on both sides we have to get

X= 42 degree

Therefore 42 is the complement angle of 48.

Example 3:

If one of the supplementary angles is equal to 148 degree. Solve the measure of another supplementary angle. Is this topic Types of Angles hard for you? Watch out for my coming posts.

Solution:

We know that the method has

The sum of the supplementary  angles is equal to 180 degree.

We can consider another angle be x.

Therefore x + 148 = 180

Subtracting 148 on both sides we have to get

X= 32 degree

Therefore 32 is the supplementary angle of 148.