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Find the value of the angle marked x in the diagram above...

Find the value of the angle marked x in the diagram above

Find the value of the angle marked x in the diagram above

A.

600

B.

450

C.

900

D.

300

Correct answer is A

PR2=PQ2+RQ22(PQ)(RQ)cosQ

cosQ=PQ2+RQ2PR22(PQ)(RQ)

cosQ=82+52722×8×5

cosQ=64+254980

cosQ=4080=0.5

Q=cos1(0.5)=600