Q. 25 WE - Geometry

Question

Draw a line, $\overleftrightarrow{\mathit{A}\mathit{B}}$. Choose a point $\mathit{O}$. between $\mathit{A}$ and $\mathit{B}$. Use a protractor to investigate the following questions.

Using a ruler, draw a large triangle. Then use a protractor to find the approximate measure of each angle and compute the sum of the three measures. Repeat this exercise for a triangle with a different shape. Did you get the same result?

Step-by-Step Solution

Answer

The sum of the three angles will always be equal to $\mathbf{180}\mathbf{°}$ for any kind of a triangle.

Step 1 -Draw two triangles

Draw any two triangles with different angles. 

Triangle 1:

Triangle 2:

Step 2-Measure the angles of triangle using protractor

When angles were measured by using protractor, it can be observed that the sum of the three angles of both the triangles are equal to $180°$.

Step 3 - State the conclusion

First triangle is a right-angle triangle and second triangle is equilateral triangle and sum of the three angles in both kind of triangle is $180°$, so one can take any type of triangle the sum will always be equal to $180°$.

Therefore, one will find that the sum of the three angles will always be equal to for any kind of a triangle.