Question

the quadrilateral ab is parallel to dc if a:d=4:5and b = (3x-15)and c=(4x+20) find each angle​

Answer 1

Answer:

Step-by-step explanation:

and ∠C = 4 (25) + 20 = 100°+ 20°= 120°Read more on Sarthaks.com - https://www.sarthaks.com/170286/the-following-figure-shows-quadrilateral-which-sides-ab-and-dc-are-parallel-if-a-d-b-3x-15

Answer 2

Answer:

Let, a = 4x

d = 5x

a + d = 180°

4x + 5x = 180°

9x = 180°

x = 180°/9°

x = 20 °

So the Angles are,

a = 4x

= 4 × 20°

= 80°

b = (3x - 15)

b = (3(20°) - 15)

b = (60° - 15)

b = 45°

c = (4x + 20)

c = ( 4(20°) + 20)

c = (80° + 20)

c = 100°

d = 5x

= 5 × 20°

= 100°