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Vanyuwa [196]
2 years ago
6

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

Mathematics
2 answers:
ad-work [718]2 years ago
8 0

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 :)

musickatia [10]2 years ago
8 0

\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 <em>CED</em> 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 }

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