myaeevans
myaeevans myaeevans
  • 07-12-2018
  • Mathematics
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What is the measurement of angle A. Enter your answer in the box

What is the measurement of angle A Enter your answer in the box class=

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sqdancefan
sqdancefan sqdancefan
  • 07-12-2018

Answer:

[tex]\displaystyle\boxed{60^{\circ}}[/tex]

Step-by-step explanation:

The vertical angles at E are the same and are included in both triangles ABE and CDE. Since the sum of angles of a triangle is 180°, the sum of the angles at A and B will match the sum of the angles at C and D. That is, when either sum is added to the angle at E, the result will be 180°.

A = (C+D)-B = (43 +35 -18)°

A = 60°

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