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prove that PQR is a straight line

prove that PQR is a straight line

Answer :

The sum of the angles is 180 degrees then the line PQR is a straight line.

What is a straight line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

The segment PQR will be a straight line if the sum of all the angles will be equal to 180 degrees.

Adding the angles,

Angle PQR = 2x+10+3x+70+100-5x

Angle PQR = 5x+180-5x

Angle PQR = 180

Since the sum of angles in a straight line is 180, PQR is a straight line as the sum of its angles is 180.

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Rewritten by : Barada

Answer with Step-by-step explanation:

Adding the angles ,

2x+10+3x+70+100-5x

5x+180-5x

180

Since, the sum of angles in a straight line is 180 , PQR is a straight line as the sum of it's angle is 180.