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Firlakuza [10]
3 years ago
6

What is the measure or ENV

Mathematics
2 answers:
Vlad [161]3 years ago
8 0
First we need to get x
<RNA = <ENV [v.o.a]
8x+12=5x+57
8x-5x=57-12
3x=45
x=15

<ENV= (5×15+57)
<ENV =132
the answer is D
kirza4 [7]3 years ago
5 0

Answer: The answer is (D) 132^\circ.

Step-by-step explanation: We are given a figure where the line segments AE and RV are intersecting at the point N. We are to find the measure of \angle ENV.

Also, given that

\angle ANR=(8x+12)^\circ,\\\\\angle ENV=(5x+57)^\circ.

Since the line segments AE and RV intersect at N, so we have

\angle ANR=\angleENV~[\textup{vertically opposite angles}]\\\\5x+57=8x+12\\\\\Rightarrow8x-5x=57-12\\\\\Rightarrow3x=45\\\\\Rightarrow x=15.

Therefore,

\angle ENV=(5\times 15+57)^\circ=(75+57)^\circ=132^\circ.

Thus, (D) is the correct option.

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