Question

HELPPPP I need these answers

Answer 1

d

Explanation:

ABCD is a cyclic quadrilateral

the opposite angles of a cyclic quadrilateral sum to 180° , that is

∠ A + ∠ C = 180° , then

`(3)/(2)` x + 20 +
`(5)/(2)` x + 40 = 180 ( multiply through b y 2 to clear the fractions )

3x + 40 + 5x + 80 = 360

8x + 120 = 360 ( subtract 120 from both sides )

8x = 240 ( divide both sides by 8 )

x = 30

Then

∠ A =
`(3)/(2)` (30) + 20 = 45 + 20 = 65°