Four of the angles of a pentagon measure 85, 110, 135, and 95. Find the measure of the missing angle

Answer 1

Let x be the measure of the missing angle.

The sum of the interior angles of a pentagon is (5 - 2) * 180 = 540 degrees.

So we have:

85 + 110 + 135 + 95 + x = 540

Combine like terms:

425 + x = 540

Subtract 425 from both sides:

x = 115

Therefore, the missing angle measures 115 degrees.