lilykhan566
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I NEED HELPPPPPP!!!! :DDDD WILL MARK BRAINLIEST TO THE BEST ANSWER!!!! PLEASE SHOW ALL SOLUTIONS!!!! In triangle ABC, the exterior angle at A measures (3x + 10)°, the exterior angle B measures (5x)°, and the exterior angle C measures (2x + 4)°. Determine the measure of the interior angle at A. THANK YOU AND GOD BLESS....!!!!

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sqdancefan

9514 1404 393

Answer:

  ∠A = 66.2°

Step-by-step explanation:

The sum of exterior angles of any polygon is 360°, so you have ...

  (3x +10)° +(5x)° +(2x +4)° = 360°

  10x +14 = 360 . . . . . . . . . . . . . . .collect terms, divide by °

  x + 1.4 = 36 . . . . . . . . . divide by 10

  x = 34.6

The interior angle at A is the supplement of the exterior angle there:

  ∠A = 180° -(3x +10)° = 180° -(3(34.6) +10)°

  ∠A = 66.2°

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