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:

Given the parallelogram ABCD.

In case of a parallelogram the sum of co-interior angles will be 180°

i.e, ∠A+∠B=180°

⇒2x+15+3x−25

o

=180°

∴5x=190°

i.e, x=38°

Hence, the answer is 38°.

if your answer correct so please brilliant me

Answer 2

Sum of consecutive interior angles of a ||gm = 180°

∴ ∠A + ∠B = 180°

⇒ (2x + 15)° + (4x - 27)° = 180°

⇒ 6x° - 12 = 180°

⇒ 6x° = 192°

⇒ x° = 32°.

Now, we know that opposite angles of a parallelogram are same.

∴ ∠A = ∠C = (2x + 15)° = 79°.

Also, ∠B = ∠D = (4x - 27)° = 101°.