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°

step-by-step explanation:

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step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.