Question

le" class="latex-formula"> and $\overline{ED}$ are parallel. What is the measure of $\angle ABC$
A) $45^\circ$
B) $65^\circ$
C) $55^\circ$
D) $50^\circ$

Answer 1

Answer:

B: 65°

Step-by-step explanation:

Step 1:

AB ║ ED      Given

Step 2:

∠E = 65°      Given

Step 3:

∠ABC = 65°    Alt. Int. ∠'s   ( Alternate Interior ∠'s)

Answer:

B: 65°

Hope This Helps :)

Answer 2

$\tt Step-by-step~explanation:$

To find the measure of ∠ABC, we need to know that the sum of the interior angles of a triangle is 180º.

$\tt Step~1:$

Triangle CED has two given angles: 65º and 50º. We can add them together and subtract that from 180 to get the third measure.

$\tt 65+50=115\\180-115=65$

$\tt Step~2:$

Since lines AB and ED are parallel, that means m∠ACB is also 65º since the vertical angle is also 65º. Then, we can add 65 and 50 together and subtract that from 180 to get our answer.

$\tt 65+50=115\\180-115=65$

$\large\boxed{\tt Our~final~answer:~m\angle ABC=65~degrees }$