Question

What is angle S and what is angle U?

Answer 1

Answer:

$m\angle S=119^\circ$, $m\angle U=87^\circ$

Step-by-step explanation:

Since $STUVW \sim HIJFG$, we know that

$m\angle S=m\angle H$ and $m\angle U=m\angle J$

since corresponding angles in similar triangles are equal in measure.

Therefore, looking at the second diagram, we see

$m\angle H=119^\circ$   and   $m\angle J=87^\circ$.

Plugging these values into the equations we found in the first step, we get

$m\angle S=m\angle H=119^\circ$   and   $m\angle U=m\angle J=87^\circ.$

So, we have $\boxed{m\angle S=119^\circ}$ and $\boxed{m\angle U=87^\circ}$.