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#32019

congruence

right triangles

angles

similarity

geometry

hard

90 sec

Triangles $PQR$ and $X Y Z$ are similar, where $P$ corresponds to $X$ , $Q$ to $Y$ , and $R$ to $Z$ . The measure of angle $P$ is $2 x^{\circ}$ . The measure of angle $Q$ is $(3 x - 10)^{\circ}$ . The measure of angle $Z$ is $11 0^{\circ}$ . What is the value of $x$ ?

• 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.