Question

In a parallelogram cars, angle c=5x-20 and angle a=3x+40.find x.

Answer 1

Answer:

20°

Step-by-step explanation:

Since co-interior angle = 180°

(i.e angle C + angle A = 180° )

3x + 5x + 40 + 20 = 180°

8x+20 = 180°

8x = 180-20

8x= 160°

x= 160÷8

x=20

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Answer 2

Value of x is 20°.

Given:

• A ||gm CARS.
• $\angle C=5x-20^{\circ}$ and $\angle A=3x+40^{\circ}$

To find:

• Find the value of x.

Solution:

Formula/Concept to be used:

• According to property of ||gm, adjacent angles are supplementary angles.

Step 1:

As in ||gm CARS,

$\angle C$ and $\angle A$ are adjacent angles.

So,

$\angle C+ \angle A=180^{\circ}$

or

$5x-20^{\circ}+ 3x+40^{\circ}=180^{\circ}$

or

$8x+20^{\circ}=180^{\circ}$

or

$8x=180-20^{\circ}$

or

$8x=160^{\circ}$

or

$x = \frac{160^{\circ}}{8}$

or

$x = 20^{\circ}$

Thus,

Value of x is 20°.

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