Question

Write a paragraph proof for the following conjecture.
Given: m∠SQR=55°.
m∠PQS=35°.
Prove: △PQR is a right triangle.

Answer 1

Step-by-step explanation:

TERE MA KI CHUtki

therefore LHS=RHS

NIKAL

Answer 2

Answer with Step-by-step explanation:

Given:$m\angle SQR=55^{\circ}$

$m\angle PQS=35^{\circ}$

$m\angle PQR=m\angle PQS+m\angle SQR$

Substitute the values then we get

$m\angle PQR=35+55$

By addition property of integers

$m\angle PQR=90^{\circ}$

Right angled triangle: When one angle of triangle is equal to 90 degrees then, the triangle is called right angles triangle.

In triangle PQR

$m\angle PQR=90^{\circ}$

Therefore, by definition of right angle triangle

Triangle PQR is a right triangle.

Hence, proved.

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