Question

solve for x:
(59 - 2x)°
(64 - 3x)°
x =
submit
work it out
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Explanation:

Step1: Identify angle relationship

Since \( RS \parallel TU \) and \( PQ \) is a transversal, the angles \( (59 - 2x)^\circ \) and \( (64 - 3x)^\circ \) are alternate exterior angles, so they are equal.
\[
59 - 2x = 64 - 3x
\]

Step2: Solve for \( x \)

Add \( 3x \) to both sides:
\[
59 - 2x + 3x = 64 - 3x + 3x
\]
\[
59 + x = 64
\]
Subtract 59 from both sides:
\[
x = 64 - 59
\]
\[
x = 5
\]

Answer:

\( x = 5 \)