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.

Question

asked Jul 16, 2022 133k views

1 Answer

Hild · Answer 1 · 2022-07-20T04:46:03+0000

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°