Question

find the value of x.
(there is a right triangle with one angle 59°, another angle x°, and an exterior angle 150° at the vertex opposite to the right angle. there is also a box to input x and two buttons, one with a refresh icon and one with an x icon.)

Explanation:

Step1: Find the interior angle adjacent to 150°

The angle adjacent to 150° on a straight line is supplementary, so it is \(180^\circ - 150^\circ = 30^\circ\).

Step2: Use triangle angle sum property

The sum of angles in a triangle is \(180^\circ\). Let the angles be \(59^\circ\), \(30^\circ\), and \(x^\circ\). So, \(x = 180^\circ - 59^\circ - 30^\circ\).
Calculate: \(180 - 59 - 30 = 91\).

Answer:

\(x = 91\)