Question

In a parallelogram ABCD, if A = (2x + 15)ᵒ, B = (4x - 27)ᵒthen find the value of x and

the measure of C and D.​

Answer 1

Answer:

hey

Step-by-step explanation:

∠A + ∠B = 180°

⇒ 2x + 15 + 4x - 27 = 180

∴ 6x - 12 = 180

∴ 6x = 192

⇒ x =32°

so,

∠A = (2(32) + 15)ᵒ

∠A=79ᵒ

∠B = (4(32) - 27)ᵒ

∠B=101ᵒ

∠B = ∠D = 101° (Opposite angles of parallelogram.)

∠A= ∠C =79ᵒ

:)

Answer 2

We know that lines parallelogram are parallel,

AC|| BD

:.A+B=180°___(Interior angles))

Put the given values in the equation we get,

:.(2x+15+4x-27)=180

:.6x-12=180

:.6x=180+12

:.6x=192

:.x=32°

A=(2x+15)°=(2×32+15)=79°

B=(4x-27)°=(4×32-27)=101°

I hope this will helpful to you!!

Thank you!!