Math, asked by sandhya14121997, 8 months ago

40. Two adjacent supplementary
angles are (3x+10)° and (4x- 26)° ,find
X
O O
26
24
O
28
O
22​

Answers

Answered by kanimozhi15111
1

Answer:

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Answered by Agastya0606
0

The correct answer is option (c) 28.

Given,

Two adjacent supplementary angles are (3x+10)° and (4x- 26)°.

To Find,

The value of x.

Solution,

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.

Now, the sum of (3x+10)° and (4x- 26)° will also be 180°.

So,

(3x+10)+(4x- 26) = 180

7x-16 = 180

7x = 196

x = 196/7

x = 28.

Hence, the value of x is 28.

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