Question

in a parallelogram ABCD angle A=(3x+12) angle B=(2x-32)then find the value of x and then find the measure of angle C and angle D​

Answer 1

Answer:

the answer is in the above picture

Step-by-step explanation:

hope this helps you.

please mark my answer as BRAINLIEST

Answer 2

I HPE IT HELPS YOU

In a parallelogram ABCD angle

A=(3x+12) angle B=(2x-32)

we know,

<A + <B + <C + <D = 360°

Also,

<A + <B = 180° [ Being co-interior angles]

or, 3x + 12 + 2x - 32 = 180°

or, 5x - 20 = 180°

or, 5x = 200°

or, x = 200°/5

So, x = 40°

Now,

A=(3x+12)

= 3 x 40° + 12°

= 132°

Also,

B=(2x-32)

= 2 x 40° - 32°

= 48°

In a parallelogram ABCD

opposite angles are equal

So,<C = <A = 132°

And,

<D = <B = 48°