Question

the adjacent angles of a parallelogram are x degree and (2x+30). find all the angels of the parallelogram​

Answer 1

Given :

✰ The adjacent angles of a parallelogram are x degree and (2x+30)

To Find :

✰ All the angles of parralegram

Solution :

✰ Adjacent angles of the parralegram are given x and (2x + 30). We know that adjacent angles of parralegram are supplementary. And sum of Adjacent angles is 180°. And we can write x + 2x + 20 is 180. Firstly we will find the value of x and then putting the values of x in the given angles we can easily find all angles of the parralegram

⟹ x + 2x + 30 = 180

⟹ 3x + 30 = 180

⟹ 3x = 180 - 30

⟹ 3x = 150

⟹ x = 150/3

⟹ x = 50°

Putting the values

⟹ 2x + 30

⟹ (2 ×50) + 30

⟹ 100 + 30

⟹ 130°

As we know that opposite angles of parralegram are equal.

∴ The angles are 50°, 130°,50° and 130°

Answer 2

Given :

• The adjacent angles of a parallelogram are x degree and (2x + 30).

To Find :

• Measures of all the Angles.

Solution :

✰ As we know that, Sum of two adjacent angles of a Parallelogram is equals to 180° . Now in this, two adjacent angles of a Parallelogram are given so we will form a Equation that is x + (2x + 30) = 180° and now we will solve it to find the measure of all the angles of the Parallelogram.

⠀⠀⠀

⠀⠀⟼⠀⠀Sum of Adjacent Angles = 180

⠀⠀⟼⠀⠀x + (2x + 30) = 180

⠀⠀⟼⠀⠀x + 2x + 30 = 180

⠀⠀⟼⠀⠀3x = 180 - 30

⠀⠀⟼⠀⠀3x = 150

⠀⠀⟼⠀⠀x = 150/3

⠀⠀⟼⠀⠀x = 50°

⠀⠀⠀

The Angles are :

➥ First Angle = x

➥ First Angle = 50°

⠀

➥ Second Angle = 2x + 30

➥ Second Angle = 2 × 50 + 30

➥ Second Angle = 100 + 30

➥ Second Angle = 130°

⠀

Thus Angles of the Parallelogram are 50° , 130° , 50° , 130°.

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