Question

what is the measure of angle x? 75 65 60 45

Explanation:

Step1: Find the measure of angle y

Since a straight - line angle is 180 degrees, and the given angle adjacent to y is 120 degrees, then $y = 180 - 120=60$ degrees.

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180 degrees. In triangle JKL, one angle is 45 degrees and another (angle y) is 60 degrees. Let angle x be the third angle. So, $x=180-(45 + 60)$.
$x = 180 - 105=75$ degrees.

Answer:

75