Question

Find the measure of angle Z.

Answer 1

Answer:

Angle Z = 117°

Step-by-step explanation:

We are given a figure with a triangle with two known angles and one unknown angle. That unknown angle further extends to form a straight line and we are to find that exterior angle z.

We know that the sum of all three angles of a triangle is 180°. So the third unknown angle of the given triangle will be = 180 - (45 + 72) = 63°.

We also know that angles on one side of a straight line always add to 180°.

Therefore, angle z = 180 - 63 = 117°.