Question

the measure of angle 1 is 40
the measure of angle 2 is 124
the measure of angle 4 is 124
the measure of angle 7 is 16
the measure of angle 8 is type your answer...
the measure of angle 5 is type your answer...

Explanation:

Step1: Recall angle - related properties

Assume the angles are formed by parallel lines and a transversal. Vertical angles are equal, and corresponding angles are equal, and the sum of adjacent angles on a straight - line is 180 degrees. But since we are not given the relationship between the angles clearly, we assume some basic angle - pair relationships. If we assume that angle 7 and angle 8 are adjacent angles on a straight - line.

Step2: Calculate angle 8

Since the sum of adjacent angles on a straight - line is 180 degrees, and the measure of angle 7 is 16 degrees. Let the measure of angle 8 be \(x\). Then \(x + 16=180\), so \(x=180 - 16=164\) degrees.

Step3: Assume relationship for angle 5

If we assume that angle 1 and angle 5 are corresponding angles (assuming parallel lines and a transversal situation), then angle 5 has the same measure as angle 1. So the measure of angle 5 is 40 degrees.

Answer:

The measure of angle 8 is 164.
The measure of angle 5 is 40.