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find ( mangle vyw ). ( mangle vyw=square^{circ} )

Question

find ( mangle vyw ).
( mangle vyw=square^{circ} )

Explanation:

Step1: Recall the relationship between angles

Since \(\angle TYW = 90^{\circ}\) (right - angle) and \(\angle TYW=\angle T Y V+\angle V Y W\).
Let \(\angle T Y V = 31^{\circ}\), then we can use the formula \(\angle V Y W=\angle TYW-\angle T Y V\).

Step2: Substitute the values

Substitute \(\angle TYW = 90^{\circ}\) and \(\angle T Y V=31^{\circ}\) into the formula.
\(m\angle VYW=90^{\circ}- 31^{\circ}\)
\(m\angle VYW = 59^{\circ}\)

Answer:

\(59\)