Question

two adjacent angles of a parallelogram are in ratio 4:6 find all angles​

Answer 1

Answer:

Sum of the adjacent angles in any parallelogram= 180

ratio of adjacent angles = 4:6(given)

let first angle = 4x

second angle = 6x

4x+6x=180

10x=180

x=180/10

x= 24

therefore

required angles are

first angle = 4x= 4*24=96

second angle = 6x= 6*24=144

that is your answer friend☺

Answer 2

Answer :

›»› The all four angles of a parallelogram are 72°, 108°, 72° and 108° respectively.

Step-by-step explanation :

Given :

• Two adjacent angles of a parallelogram are in the ratio 4:6.

To Find :

• All angles of a parallelogram.

Solution :

Let us assume that, the adjacent angles of a parallelogram is 4x and 6x respectively.

As we know that

The sum of two adjacent angles of a parallelogram is 180°.

We are given with the two adjacent angles of a parallelogram, that is,

• 4x and 6x.

According to the given question,

→ 4x + 6x = 180

→ 10x = 180

→ x = 180/10

→ x = 18/1

→ x = 18

Therefore,

The two adjacent angles of a parallelogram will be,

• 4x = 4 × 18 = 72°.
• 6x = 6 × 18 = 108°.

We know that, opposite angles of a parallelogram are equal. So,

→ 72° = 72°.

→ 108° = 108°.

Hence, the all four angles of a parallelogram are 72°, 108°, 72° and 108° respectively.