Two interior angles of a pentagon measures 112 degrees and 68 degrees and the remaining angles are of the same measures. find the measures of this angle

120°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 since a pentagon has 5 sides, thus

sum = 180° × 3 = 540°

let x be the measure of the 3 equal angles

Sum the interior angles and equate to 540

112 + 68 + 3x = 540, that is

180 + 3x = 540 ( subtract 180 from both sides )

3x = 360 ( divide both sides by 3 )

x = 120

Hence the measure of each equal interior angle is 120°

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: