Question

The two adjacent angles of a parallelogram are ( 3x - 5 )0 and ( 4x - 30 )0 . Find all the
angles .

Answer 1

Correct Question

The two adjacent angles of a parallelogram are (3x - 5)° and (4x - 30)°. Find all the angles.

Answer :-

The angles of parallelogram are 87.4°, 93.2°, 87.4° and 93.2°.

Step-by-step explanation

To Find :-

• The angles of parallelogram.

★ Solution

Given that,

The two adjacent angles of parallelogram are

(3x - 5)° and (4x - 30)°.

As we know that,

Sum to adjacent angles of parallelogram measures 180°,

Therefore,

• (3x - 5)° + (4x - 30)° = 180°

→ (3x - 5) + (4x - 30) = 180

→ 3x - 5 + 4x - 30 = 180

→ 3x + 4x = 180 + 5 + 30

→ 3x + 4x = 215

→ 7x = 215

→ x = 30.8 ≈

The value of x is 30.8 .

According the question,

The angles are :-

→ (3x - 5) = (3*30.8 - 5) = 92.4 - 5 = 87.4°

→ (4x - 30) = (4*30.8 - 5) = 123.2 - 30 = 93.2

The angles opposite to 87.4° is 87.4° and the angles opposite to 93.2° is 93.2°

Hence, The angles are 87.4°, 93.2°, 87.4° and 93.2°.