Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle. A. 115° B. 95°C. 135°D. 85°
sum of all 5 angles of a pentagon = 540°
85 + 110 + 135 + 95 = 425
540 - 425 = 115
missing angle = 115° (answer is A)
Hence the missing angle is 115 degrees
The sum of an interior angle of a pentagon is 540 degrees
Let the value of the fifth angle be "x", hence;
x + 85°+ 110° + 135° + 95° = 540
x = 540 - (85°+ 110° + 135° + 95°)
x = 540 - 425
x = 115 degrees
Hence the missing angle is 115 degrees
Learn more on angles in a pentagon here: https://brainly.com/question/21475963