Joeyboi2022
Answered

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What is angle S and what is angle U?

What Is Angle S And What Is Angle U class=

Sagot :

Answer:

[tex]m\angle S=119^\circ[/tex], [tex]m\angle U=87^\circ[/tex]

Step-by-step explanation:

Since [tex]STUVW \sim HIJFG[/tex], we know that

[tex]m\angle S=m\angle H[/tex] and [tex]m\angle U=m\angle J[/tex]

since corresponding angles in similar triangles are equal in measure.

Therefore, looking at the second diagram, we see

[tex]m\angle H=119^\circ[/tex]   and   [tex]m\angle J=87^\circ[/tex].

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

[tex]m\angle S=m\angle H=119^\circ[/tex]   and   [tex]m\angle U=m\angle J=87^\circ.[/tex]

So, we have [tex]\boxed{m\angle S=119^\circ}[/tex] and [tex]\boxed{m\angle U=87^\circ}[/tex].

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