Question

adjacent angles of a parallelogram are in the ratio of 7 is to 8 find the values of the angles​

Answer 1

Answer:

HI

this is the answer.

x=5

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Answer 2

Given,

The adjacent angles of a parallelogram are in the ratio of 7 is to 8.

To find,

The values of the angles of the parallelogram.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the adjacent angles of the parallelogram are 7x° and 8x°, respectively.

Mathematically,

The adjacent angles of a parallelogram are supplementary and its opposite angles are equal.

{Statement-1}

Now, according to the question and statement-1;

The adjacent angles of the parallelogram are supplementary

=> the sum of the adjacent angles of the parallelogram = 180°

=> 7x° + 8x° = 180°

=> 15x° = 180°

=> x = 12

So, the adjacent angles of the parallelogram are 7x° and 8x°, that is 7(12)° and 8(12)°, that is 84°, and 96°, respectively.

So, according to the statement-1;

All the angles of the parallelogram are 84°, 96°, 84°, and 96°, respectively.

Hence, all the angles of the parallelogram are 84°, 96°, 84°, and 96°, respectively.