Question

If angles of a quadrilateral are x, x + 20°,
2x + 60° and 2x, find all the angles of the
quadrilateral please find the angles

Answer 1

Answer:

$2 \times \frac{280}{6} + 60 \: \: \: \: \: \: \: \: 2 \times \frac{280}{6} \\ \\ \frac{280}{6 } \: \: \: \: \: \frac{400}{6} \: \: \: \: \: \: \frac{920}{6} \: \: \: \: \: \: \: \: \frac{560}{6}$

Step-by-step explanation:

$(x) + (x + 20) + (2x + 60) + (2x) = 360 \\ 6x + 80 = 360 \\ \\ 6x = 360 - 80 \\ 6x = 280 \\ x = \frac{280}{6} \\ \\ therefore \: angles \: are \: \frac{280}{6} \: \: \: \: \: \: \: \: \: \: ( \frac{280}{6} + 20) \\ \\ 2 \times \frac{280}{6} + 60 \: \: \: \: \: \: \: \: 2 \times \frac{280}{6} \\ \\ \frac{280}{6 } \: \: \: \: \: \frac{400}{6} \: \: \: \: \: \: \frac{920}{6} \: \: \: \: \: \: \: \: \frac{560}{6}$