Question

Q3. The angles of a quadrilateral are angle of the quadrilateral. x/2 + 20, 2x – 20, x – 5 and x/4 + 35. Find the measure of each angle of the quadrilateral.​

Answer 1

Answer:

$\frac{x}{2} + 20 + 2x - 20 + x - 5 + \frac{x}{4} + 35 = 360 \\ \\ \frac{15x}{4} + 30 = 360 \\ \frac{15x}{4} = 330 \\ 15x = 330 \times 4 \\ 15x = 1320 \\ x = \frac{1320}{15} \\ x = 88$