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Topic: Explain all the steps taken to solve the problem below. The measure of the interior angles of the polygon ABCDE are shown below. Determine the measure of angle E.​

Topic Explain all the steps taken to solve the problem below The measure of the interior angles of the polygon ABCDE are shown below Determine the measure of an class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  ∠E = 156°

Step-by-step explanation:

The sum of angle measures in a pentagon is 540°, so we have ...

  95 +(7x -4) +90 +(9x -6) +(3x +23) = 540

  19x +198 = 540

  19x = 342 . . . . . . . subtract 198

  x = 18 . . . . . . . . . . .divide by 19

Then the measure of angle E is ...

  ∠E = (9x -6)° = (9·18 -6)°

  ∠E = 156°

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