Q18 - Geometry

Question

Complete. $m\angle LDA+m\angle ADE=\underset{¯}{?}$

Step-by-Step Solution

Answer

The answer is $m\angle LDA+m\angle ADE=\mathbf{180}\mathbf{°}$.

Step 1. Apply the definition of sum of angles on a straight line.

The sum of all angles on a straight line is $180°$ and is termed as supplementary angles.

Step 2. Observe the diagram.

From the given figure, it is observed that $\angle LDA$ and $\angle ADE$ lie on the straight line LDE.

Step 3. Calculate m∠LDA+m∠ADE=?

Since, the sum of angles on a straight line is $180°$, therefore, $m\angle LDA+m\angle ADE=180°$.

 

Therefore, the complete statement is $180°$.