Question

find x and y answer fat in 2 minutes I will mark you as brainlist​

Answer 1

Answer:

x=65° VOA.

x=90-40=50.

y=180-(40+120).

y=180-160.

y=20.

Answer 2

SOLUTION:

(A)

x = 65⁰ (Vertically opposite angles are equal)

Now, by Exterior Angle Property, x + y = 135⁰

==> 65⁰ + y = 135⁰

==> y = 135⁰ - 65⁰

==> y = 70⁰

∴ X = 65⁰, Y = 70⁰

(B)

In triangle ADC,

∠ADC + ∠DAC + ∠DCA = 180⁰

==> 120⁰ + 40⁰ + y = 180⁰

==> y = 180⁰ - 160⁰

==> y = 20⁰

Now, ∠ACB + ∠ACD = 180⁰ [Linear pair]

==> ∠ACB + 120⁰ = 180⁰

==> ∠ACB = 180⁰ - 120⁰

==> ∠ ACB = 60⁰

In triangle ABC,

∠ABC + ∠ACB + ∠BAC = 180⁰

==> x + 50⁰ + 60⁰ = 180⁰

==> x = 180⁰ - 110⁰

==> x = 70⁰

∴ X = 70⁰, Y = 20⁰