Ex.5.1 Q5 Lines and Angles Solution- NCERT Maths Class 7


Question

Find the angle which is equal to its supplement.

 Video Solution
Lines & Angles
Ex 5.1 | Question 5

Text Solution

What is known?

An angle which is equal to its supplement.

What is the unknown?

Find measure of the angle.

Reasoning:

Let us say given angle is \(x\)  and according to the question, its supplementary angle will also be equal to \(x\). The sum of angle and its supplement angle is always equal to \(180^\circ.\)

Steps:

Let the angle be \(x.\)

Therefore, supplement of this angle will also be \(x.\)

We know that, the sum of measure of pair of supplementary angles is \(180 \,^{\circ}\)

\[\begin{align} x+x &=180^\circ\\ \Rightarrow2x &=180^\circ\\ \Rightarrow x&=(180^\circ)/2\\ \Rightarrow x&=90^\circ\end{align}\]

Thus, the angle which is equal to its supplement is \(90^\circ.\)

Learn from the best math teachers and top your exams

  • Live one on one classroom and doubt clearing
  • Practice worksheets in and after class for conceptual clarity
  • Personalized curriculum to keep up with school