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3 years ago

Are triangles PRU and STQ congruent? Question 2 options:

Mathematics

1 answer:

denis23 [38]3 years ago

3 0

PRU and STQ are not congruent because they aren’t the same size.

No, because they aren’t the same size.

Step-by-step explanation:

Both PRU and STQ triangles aren't in the same size, So it is not congruent. Triangles are congruent if two pairs of corresponding angles and a couple of inverse sides are equivalent in the two triangles.

If there are two sets of corresponding angles and a couple of comparing inverse sides that are not equal in measure, at that point the triangles are not congruent.

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Angle RST is a right angle. Angle RSU has a measure of 25°.

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Keywords

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we know that

If two angles are complementary angles, then their sum is equal to a right angle

In this problem

$Angle\ RSU+Angle\ TSU=90\°$ -------> by complementary angles

we have

$Angle\ RSU=25\°$

Substitute and solve for Angle TSU

$Angle\ TSU=90\°-25\°=65\°$

therefore

the answer is the option

$65\°$

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Answer:

Step-by-step explanation:

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