Question

MNOP is an isosceles trapezoid with sides NO and MP being parallel. If m∠M = (2x)° and m∠P = (x + 27)°, what is the value of x?

A. x = 27
B. x = 18
C. x = 9
D. x = 36

Answer 1

To find the value of x in the isosceles trapezoid, we can set up an equation based on the angles in the trapezoid and solve for x.

Step-by-step explanation:

To find the value of x, we can set up an equation based on the angles in the isosceles trapezoid. The sum of the angles in a trapezoid is 360°, so we have (2x)° + (x + 27)° + (x + 27)° + (2x)° = 360°.

Combining like terms, we get 6x + 54 = 360. Subtracting 54 from both sides gives us 6x = 306. Dividing both sides by 6, we find that x = 51.