Question

p please answer the question fast with complete solving
class 9​

Answer 1

Answer:

a = 80°

b = 100°

c = 80°

d = 100°

Step-by-step explanation:

Given -

in figure 4 AB and CD intersect each other at O. If a : b = 4 : 5, find a, b, c, d

Because AB and CD are intersecting each other, so the vertically opposite angles will be equal.

a's vertically opposite angle = c

and b's, d

so

a = c

and b = d

let us consider a and b as 4x and 5x respectively. so c and b will be 4x and 5x.

Sum of all angle = 360°

=> a + b + c + d = 360°

=> 4x + 5x + 4x + 5x = 360°

=> 18x = 360°

=> x = 360÷18°

=> x = 20°

Hence

a = 4x = 4×20° = 80°

b = 5x = 5×20° = 100°

c = 4x = 4×20° = 80°

d = 5x = 5×20° = 100°

Hence a, b, c and d are 80°, 100°, 80° and 100° respectively.

hope it helps.