Question

b) In the diagram below, two lines are drawn. Explain how you could determine the values
of b, c, and d, using at least two of the following terms: linear pair, vertical angles,
congruent, & supplementary. ( 3 points)
b
U
40°
d

Answer 1

Answer/Step-by-step explanation:

When twi straight lines intersect, they form 2 pairs of opposite vertical angles that are congruent.

In the diagram given, the following pairs of vertical angles are formed:

<c and 40°

<b and <d

<c = 40° (vertical angles are congruent)

<b and 40° are linear pairs. They are both supplementary. Therefore:

<b = 180° - 40

<b = 140°

<d = <b (vertical angles)

<d = 140° (substitution)