Question

3.Given m_2=x+5 and m27= 3x - 15 and a || 6. Justify using sound mathematical reasoning why the setup equation is correct. (Unit 5)12aA345678The set up equation is x +5= 3x -15 because:

Answer 1

In this case, we must analyze the diagram to find the solution.

∠ 2 = ∠ 7

x + 5 = 3x - 15

We must apply the properties of the angles.

Angles that are on the opposite sides of the transversal are called alternate angles. All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

The answer is:

The equation is correct, because angle 2 and 7 are alternate exterior angles and thus congruent.