Question

question 5
not yet answered
marked out of 2.00
flag question
which statement about the angles in this diagram is false?
select one:
a. <c = 36°
b. <d = 36°
c. <a = 36°
d. <g = 36°

Explanation:

Step1: Identify supplementary angles

The angle of $144^{\circ}$ and $\angle e$ are supplementary. So $\angle e=180 - 144=36^{\circ}$.

Step2: Use properties of parallel - lines

Since the lines are parallel, $\angle c=\angle e = 36^{\circ}$ (alternate - interior angles), $\angle d=\angle e = 36^{\circ}$ (corresponding angles), and $\angle g=\angle e = 36^{\circ}$ (alternate - exterior angles).
$\angle a$ and the $144^{\circ}$ angle are corresponding angles, so $\angle a = 144^{\circ}$.

Answer:

C. $\angle a = 36^{\circ}$