Question

5. Three lines are drawn so that they all intersect at a common point. In the figure below, m41
=
x°, mL2 = 2x°, and m43 = 75°.
Which equations can be used to determine the value of x?
Select all that apply.
A. 3x° = 75°
B. 3x° =
105°
C. 3x° = 255°
D. 3x° + 75° = 180°
E. x° + 2x° + 75° =
180°
F. x° + 2x° + 3x° = 360°

Answer 1

Answer: BDE

Step-by-step explanation:

Because angles 1, 2, and 3 form a straight angle, x+2x+75=180 -> E

Simplifying, we get that 3x+75=180 -> D

Subracing 75 from both sides, we get 3x = 105 -> B