3 years ago

In the figure shown, which pair of angles must be supplementary?

Mathematics

2 answers:

nignag [31]3 years ago

5 0

Answer:

Option C. ∠PQT and ∠TQS are supplementary.

Step-by-step explanation:

When the addition of two angles give 180° Then the pair of angles is called as supplementary.

Means we have to search the angles which are on a straight line.

Option A. ∠PQT and ∠PQS sum is more than 90 but less than 180.

Option B. ∠PQT and ∠TQS sum of these angles is 90°

Option C. ∠PQT and ∠TQR sum is 180° so pair is supplementary

Option D. ∠TQS and ∠SQR sum is less than 180°.

Therefore option C is the answer.

kiruha [24]3 years ago

3 0

Answer: option c

Step-by-step explanation:

Took the test

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3 years ago

What is the length of the other diagonal DF?<br> 5 cm<br> 16 cm <br> 21 cm <br> 32 cm

frez [133]

To solve this you need to know Pythagorean theorem.

First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.

DF = 5+16
DF = 21

If you don't know Pythagorean triples, I have worked it out on the image attached.