Question

4
note: figure is not drawn to scale.
if ( mangle1 + mangle3 = 150^{circ} ), what is ( mangle2 )?
a. ( 30^{circ} )
b. ( 33^{circ} )
c. ( 152^{circ} )
d. ( 120^{circ} )

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for the given triangle, \(m\angle1 + m\angle2+m\angle3 = 180^{\circ}\).

Step2: Solve for \(m\angle2\)

We know that \(m\angle1 + m\angle3 = 150^{\circ}\). Substitute \(m\angle1 + m\angle3\) into the angle - sum formula:
\(150^{\circ}+m\angle2=180^{\circ}\).
Then, \(m\angle2=180^{\circ}- 150^{\circ}\).

Answer:

A. \(30^{\circ}\)