SolSant2010
Answered

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Describe how ∠PTQ and ∠QTS in the figure are related. 3 adjacent angles that together form straight line P S. From left to right the angles are P T Q, then Q T R, then R T S.
A. The angles add to 90°.
B. The angles add to 180°.
C. The angles are equal.
D. The angles are unrelated.

Sagot :

It would be D the angles are unrelated
anuksha0456

The image is missing. The complete question along with the image is attached.

The angles ∠PTQ and ∠QTS are supplementary, so they add to 180°. Hence, option B is the correct option.

How are angles on a straight line related?

Angles on a straight line will always add up to 180°, that is, they are supplementary angles.

How do we solve the given question?

In the figure, we are given a straight line PS. We are asked to determine the relation between ∠PTQ and ∠QTS.

As we can see ∠QTS is made up of two angels, ∠QTR and ∠RTS.

The three angles, ∠PTQ, ∠QTR, and ∠RTS constitute the straight line PS.

∴ ∠PTQ + ∠QTR + ∠RTS = 180° (As angles on a straight line are supplementary, that is, they add to 180°)

Replacing ∠QTS = ∠QTR + ∠RTS in the above equation, we get

∠PTQ + ∠QTS = 180°.

∴ The angles ∠PTQ and ∠QTS are supplementary, so they add to 180°. Hence, option B is the correct option.

Learn more about angles on a straight line at

https://brainly.com/question/24024505

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