Answer :
B)
Because if you find the degrees for angle 1 you get:
180⁰ - 45⁰- 39⁰ = 96⁰ <- angle 1
The triangle in the center has 3 angles, and those 3 angles will equal 180⁰
So, 180⁰ - 96⁰ = 84⁰
Refer to the other answer to see how letter c was done
Because if you find the degrees for angle 1 you get:
180⁰ - 45⁰- 39⁰ = 96⁰ <- angle 1
The triangle in the center has 3 angles, and those 3 angles will equal 180⁰
So, 180⁰ - 96⁰ = 84⁰
Refer to the other answer to see how letter c was done
[tex]m\angle 1=180-45-39=96 \Rightarrow \text{A not true}\\
m\angle 2+m \angle 3=180-m\angle 1=180-96=84 \Rightarrow \text{B true}
[/tex]
[tex]m \angle 2[/tex] and the above angle with [tex]45^{\circ}[/tex] are alternate interior angles so [tex]m \angle2 =45 \Rightarrow \text{C true}[/tex]
[tex]m \angle3=180- m\anlge1 - m\angle 2\\ m \angle 3=180-96-45=39 \Rightarrow \text{ D not true}[/tex]
[tex]m \angle 2[/tex] and the above angle with [tex]45^{\circ}[/tex] are alternate interior angles so [tex]m \angle2 =45 \Rightarrow \text{C true}[/tex]
[tex]m \angle3=180- m\anlge1 - m\angle 2\\ m \angle 3=180-96-45=39 \Rightarrow \text{ D not true}[/tex]