Question

line xz is parallel to mn and contains point y. the measure of angle b is 79 degrees. the measure of angle c is 65 degrees. what is measure of angle d? extra credit complete this problem after you have finished all the other (non - extra credit) problems. congruence & angles quiz a 10/01/25

Explanation:

Step1: Use angle - sum property of a triangle

The sum of angles in a triangle is 180 degrees. In the triangle formed by points M, Y, N, we know that angles b, c, and the angle adjacent to d (let's call it x) sum up to 180 degrees.

Step2: Calculate angle x

We know that \(b = 79^{\circ}\) and \(c=65^{\circ}\). So, \(x=180-(b + c)=180-(79 + 65)=180 - 144 = 36^{\circ}\)

Step3: Use linear - pair property

Angles x and d are a linear - pair (they form a straight line). A linear - pair of angles sums up to 180 degrees. So, \(d = 180 - x\)

Step4: Find the value of d

Since \(x = 36^{\circ}\), then \(d=180 - 36=144^{\circ}\)

Answer:

144