Question

1. Given: Angle 2 is 65 degrees. Please note that L || M. (a) What is the angle measurement of Angle 4? Explain the angle relationship used and show your work. (b) What is the angle measurement of Angle 7? Explain the angle relationship used and show your work. (c) What is the angle measurement of Angle 3? Explain the angle relationship used and show your work. Answer: Part A) Part B) Part C) show your work

Answer 1

The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.

Equation

An equation is an expression used to show the relationship between two or more numbers and variables.

From the diagram:

∠2 + ∠4 = 180° (sum of angles in a straight line)

∠4 + 65 = 180

∠4 = 115°

b) ∠2 = ∠3 (vertically opposite angles)

∠3 = 65°

c) ∠3 = ∠7 (corresponding angles)

∠7 = 65°

The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.

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