Question

Two adjacent angles of a parallelogram are (5x+65)^2 and (85-2x)^2 . Find the measure of each angle of a parallelogram​

Answer 1

Answer: This question is unsolvable

Explanation:

Sum of adjacent angles of a parallelogram = 180

(5x + 65)² + (85 - 2x)² = 180

⇒ (5x)² + 2×5x×65 + 65² + 85² - 2×85×2x + (2x²) = 180

⇒ 25x² + 650 + 4225 + 7225 - 340x + 4x² = 180

⇒ 29x² + 310x + 11450 = 180

⇒ 29x² + 310x + 11270 = 0

Discriminant of the expression = b² - 4ac = 310² - 4×29×11270 = 96100 - 1307320 = -1211220

Since the discriminant is negative, the value of x is not a real number and thereby the measure of the angles of the parallelogram are also unreal, which is not possible

So unless you are from a parallel universe where the angle of a straight line ≠ 180°, this question is unsolvable

Hope it helped