Math, asked by tony1795, 10 months ago

The opposite angles of a parallelogram are
given as (5x + 3) and (4x + 6). Find the
measure of all the angles​

Answers

Answered by neetamourya777
9

Answer:

helo mate..

here is your answer..

Step-by-step explanation:

5x+3 = 4x+6

( opp angles in a // gm are equal)

5x - 4x = 6-3

x = 3

Substitute x value

5X3 + 3 = 15 + 3= 18

4X3+ 6 = 12 + 6 = 18

18 = 18

Hope it helps....

if you like it pls mark me as a brainliest

Answered by riya1504
18

Let, angle A be (5x+3)

angle C be (4x+6)

We know that, the opposite angels of a parallelogram are equal.

So, (5x + 3) = (4x + 6)

》5x + 3 = 4x + 6

》5x - 4x = 6 - 3

》 x = 3

Therefore,

one angle = 5x+3 = 5×3+3=18°

another angle is also 18°[opposite angles are equal]

Now, angle D is adjacent to angle A.

angle D + angle A = 180°[adjacent angles of parallelogram gives 180°]

》 D + 18 = 180

》 D = 180-18

》 D = 162°

Therefore, angle D is 162°.

angle D = angle B = 162°

[opposite angles are equal]

Thus, the measure of all the angles are-

A = 18°

A = 18°B = 162°

A = 18°B = 162°C = 18°

A = 18°B = 162°C = 18°D = 162°

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