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3 years ago

Given: <PQR is a right angle Prove: <PQS and <SQR are complemantary

Mathematics

1 answer:

amm18123 years ago

3 0

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)

we have that

m∠PQR=90° ----> equation B given problem (because is a right angle)

substitute equation B in equation A

m∠PQS+m∠SQR=90°

Remember that

Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)

therefore

m∠PQS and m∠SQR are complementary angles

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2 years ago

Ray UW is the angle bisector of Angle VUT. If the measure of Angle VUW = (4x + 6)° and the measure of Angle WUT = (6x – 10)°, wh

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Hello! :)

Answer:

$\huge\boxed{38^{\circ}}$

--------------------------------------------------------------------------

An angle bisector divides an angle in half, therefore:

m∠VUW ≅ m∠WUT

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2 years ago

Given: <PQR is a right angle Prove: <PQS and <SQR are complemantary​

Given: <PQR is a right angle Prove: <PQS and <SQR are complemantary