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#40226

angles

geometry

easy

60 sec

In the figure, line $n$ intersects lines $r$ and $s$ . Line $r$ is parallel to line $s$ . The measure of angle $y$ is $(5 k + 10)^{\circ}$ . The angle that is consecutive interior to $x^{\circ}$ measures $(3 k + 18)^{\circ}$ . What is the value of $k$ ?

Note: Figure not drawn to scale.

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.