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c

Step-by-step explanation:

in upper triangle:

Tan60=p/b

    √3=a/6

∴a=6√3

again, sin60=p/h

√3 /2=6√3 /b

∴b=12

now, taking down triangle:

cos45=h/b

1/√2 =12/c

∴c=6√2                            

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°