Question

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.​

Answer 1

9514 1404 393

Answer:

∠E = 156°

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°