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angle stv is a right angle. the measure of angle stw is 65°. the measur…

Question

angle stv is a right angle. the measure of angle stw is 65°. the measure of angle wtv is x°. what is the value of x? x =

Explanation:

Step1: Recall right angle property

A right angle measures \( 90^\circ \). So, \( \angle STV = 90^\circ \).

Step2: Use angle addition postulate

We know \( \angle STW + \angle WTV = \angle STV \). Substituting the known values, \( 65^\circ + x^\circ = 90^\circ \).

Step3: Solve for \( x \)

Subtract \( 65^\circ \) from both sides: \( x = 90 - 65 \).
\( x = 25 \)

Answer:

\( 25 \)