Question

PLEASE HELP ITS DUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

⦁ (A) What is the angle measurement of Angle 3? Explain the angle relationship you used.
⦁ (B) What is the angle measurement of Angle 4? Explain the angle relationship you used.
⦁ (C) What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar and different between the angle relationship between angles 1, 2, & 3 and that between 3 & 4?
⦁ (D) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.

Answer 1

Angle 3 = 103

Angle 4 = 77

Explanation:

A)

The sum of interior angles in a triangle is equal to 180 so to find angle 3:

180 - (52+25) = 103

B)

Angle 3 and angle 4 are supplementary so the measure of angle 4:

180 - 103 = 77

C)

Angle 1 and angle 2 and angle 3 are the interior angles of the triangle and their sum is 180 so is the sum of angle 3 and angle 4

D)

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the sum of angle 1 and angle 2 is equal to angle 4