Question

How to do number 16?

Answer 1

keeping in mind that an angle bisector, cuts an angle into two equal halves.

so SR is bisecting ∡PST, meaning ∡PSR = ∡RST.

and SQ is bisecting ∡RST, meaning ∡RSQ = ∡QST.

what the dickens does all that mean?

$\bf \stackrel{\measuredangle RSQ}{3x+5}~~=~~\stackrel{\measuredangle QST}{5x-11}\implies 16=2x\implies \cfrac{16}{2}=x\implies \boxed{8=x} \\\\[-0.35em] ~\dotfill\\\\ \measuredangle QST=5(8)-11\implies \measuredangle QST=29=\measuredangle RSQ \\\\[-0.35em] ~\dotfill$

$\bf \measuredangle RST=\measuredangle QST+\measuredangle RSQ\implies \measuredangle RST=29+29\implies \measuredangle RST=58 \\\\[-0.35em] ~\dotfill\\\\ \measuredangle PST=\stackrel{\measuredangle RST}{58}+\stackrel{\measuredangle PSR}{58}\implies \measuredangle PST=116$

Answer 2

You x the w number and add 21 then you add the rest add you total is 2,000