Equal Sides of an Isosceles Triangle are Produced, the Exterior Angles angles are equal.

Here we will prove if the equal sides of an isosceles triangle are produced, the exterior angles are equal.

Given: In the isosceles triangle PQR, the equal sides PQ and PR are produced to S and T respectively.

Equal Sides of an Isosceles Triangle

To prove: ∠RQS = ∠QRT.

Proof:

          Statement

1. ∠PQR = ∠PRQ

2. ∠RQS = 180 – PQR.

3. ∠QRT = 180 - ∠PRQ

4. ∠QRT = 180 - ∠PQR

5. Therefore, ∠RQS = ∠QRT. (Proved)

          Reason

1. Angles opposite to equal sides are equal.

2. Linear pair.

3. Linear pair.

4. Using statement 1.

5. Using statement 2 and 4.






9th Grade Math

From Equal Sides of an Isosceles Triangle are Produced, the Exterior Angles  to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?