Question

1 fill in the blank 5 points
find the degree measure of n.
triangle with angles 22°, n, 15°
type your answer...
2 multiple choice 6 points
find the measure of angle 2.
intersecting lines with angle 110° and angle 2
options: 110 degrees, 70 degrees, 180 degrees, 20 degrees

Explanation:

Sub - Question 1

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^{\circ}\).

Step2: Calculate \(n\)

Given two angles \(22^{\circ}\) and \(15^{\circ}\), so \(n = 180-(22 + 15)\).
First, calculate \(22+15 = 37\). Then, \(n=180 - 37=143\).

The two lines are parallel (implied by the transversal), and the angle of \(110^{\circ}\) and the adjacent angle on the same line are supplementary (\(180 - 110 = 70^{\circ}\)). Then, by the alternate - interior angles theorem (since the lines are parallel), angle 2 is equal to this \(70^{\circ}\) angle.

Answer:

\(143\)

Sub - Question 2