Question

Isosceles trapezoid FGHJ has base angles that measure (8x+14) and (14x-15). Find x and the measure of each base angle.

Answer 1

See below

Explanation:

Remark

Base angles of Isosceles triangles are equal.

Equation

That means that 8x + 14 = 14x - 15

Solution

8x + 14 = 14x - 15 Add 15 to both sides

8x + 14+15 = 14x Combine

8x + 29 = 14x Subtract 8x from both sides

8x - 8x + 29 = 14x - 8x Combine

29 = 6x Divide by 6

x = 29/6

x = 4 5/6

Answer

x = 4 5/6 or 4.833

8x + 14 = 8 * (4 5/6) + 14

8x + 14 = 38 2/3 + 14

8x + 14 = 52 2/3 or 52.6666

14x - 15 = 14 *(4 5/6) - 15

14x - 15 = 67 2/3 -15

14x - 15 = 52 2/3 or 52.666