Answer:

Given the information that P, Q, and R are collinear points and TQ is perpendicular to PR, we can identify the following angle relationships:

(a) A pair of complementary angles:

- Angle TQP and Angle PQR are complementary because they add up to 90 degrees since TQ is perpendicular to PR.

(b) Two pairs of supplementary angles:

- Angle TQP and Angle TQR are supplementary because they form a straight line and add up to 180 degrees.

- Angle PQR and Angle QRT are also supplementary for the same reason.

(c) Four pairs of adjacent angles:

- Adjacent angles share a common vertex and a common side. In this case, you have several pairs of adjacent angles along the line PR:

1. Angle TQP and Angle PQR

2. Angle PQR and Angle QRT

3. Angle QRT and Angle TRP

4. Angle TRP and Angle PQT

These are the identified angle relationships based on the given information about the collinear points and the perpendicular line.

Verified answer

Answer:

a) There are no complementary angles because there are only right angles here

b)angle TQR and angle TQP.

angle RQS and angle PQS

c) TQP and TQR

RQS and PQS

TQP and PQS

TQR and RQS

EXPLANATION:

Complementary angles are angles that add up to 90°.

So, there are no complementary angles as there are only 90° angles here.

Supplementary angles are angles that add up to 180°

Here, TQR and TQP are 90° angles.

90 + 90 = 180°

therefore they are supplementary.

the same applies to RQS and PQS.

Adjacent angles are angles that share a common vertex and a common ray. here, TQP and TQR , RQS and PQS,

TQP and PQS, TQR and RQS are adjacent. so, they can be called as adjacent angles.

PLS MARK ME BRAINLIEST