Four of the angles of a pentagon measure 85, 110, 135, and 95. Find the measure of the missing angle
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.
To find the measure of the missing angle in a pentagon, we need to know that the sum of all the angles in a pentagon is equal to 540 degrees.
Let's add up the given angles: 85 + 110 + 135 + 95 = 425.
To find the missing angle, we subtract the sum of the given angles from the total sum of angles in a pentagon: 540 - 425 = 115.
Therefore, the missing angle measures 115 degrees.