Question

ABCD is a parallelogram with A = (4x + 15) and C = (5x + 4)º. Find A​

Answer 1

Answer:

A = (4x + 15)

Step-by-step explanation:

It is given in the question

Answer 2

Step-by-step explanation:

Given:-

ABCD is a parallelogram with angle A = (4x + 15)° and angle C = (5x + 4)º.

To find:-

Find the value of angle A?

Solution:-

ABCD is a Parallelogram

angle A = (4x + 15)°

angle C = (5x + 4)º.

We know that

Opposite angles are equal in a Parallelogram

=>angle A = angle C

=> (4x + 15)° = (5x + 4)º

=>15° - 4= = 5x - 4x

=>11° = x

=>x = 11°

Now angle A =( 4x+15 )°

=>angle A = 4(11°)+15°

=>angle A = 44°+15°

=>angle A = 59°

Answer:-

The value of the angle in the Paralellogram is 59°

Used formulae:-

• Opposite angles are equal in a Parallelogram

Additional information:-

• Two pairs of opposite sides are parallel and equal in a Parallelogram

• Opposite angles are equal in a Parallelogram

• Adjacent angles are supplementary in a Parallelogram

• Diagonals bisect to each other in a Parallelogram