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Example1

Title: Perimeter of Triangle(based on angles)

Grade 4+ Lesson s1-l8

Explanation: The best way to understand geometry is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

Triangle XYZ is a right triangle with angle Y measuring 90 degrees. If angle X measures 30 degrees, find the measure of angle Z.

Step: 1

In a right-angled triangle, the sum of all angles is 180 degrees.

Explanation:

In a right-angled triangle, the sum of all angles always equals 180 degrees. So, for any right-angled triangle, we can say that Angle X + Angle Y + Angle Z = 180 degrees.

Step: 2

Given Angle Y is a right angle of 90 degrees and Angle X is 30 degrees, we need to determine Angle Z.

Explanation:

We need to find Angle Z, given that Angle Y is a right angle with a measure of 90 degrees and Angle X has a measure of 30 degrees.

Step: 3

Substitute the values : 30 degrees + 90 degrees + Angle Z = 180 degree

Angle Z = 180 degrees - 120 degrees

Angle Z = 60 degrees.

So, the measure of angle Z is 60 degrees.

Explanation:

Angle Z equals 60 degrees. To determine this value, subtract 120 degrees from 180 degrees.

Therefore, the measurement of angle Z is 60 degrees.