Math, asked by Sunny1254991, 10 months ago

If two supementary angles differ by 34. Find the angles.?

Answers

Answered by seemajain0008
0

Answer:

Step-by-step explanation:

Answer:

Required Supplementary angles are ,

(107°,73°)

Explanation:

_________________________

Supplementary angles:

Sum of any two angles equal to 180° are called supplementary angles .

________________________

Here,

Let x , (180-x) are two supplementary angles.

According to the problem given,

x -(180°-x) = 34°

=> x -180°+x = 34°

=> 2x = 34+180

=> 2x = 214

=> x = 214/2

=> x = 107°

Therefore,

Required angles are ,

x = 107°,

180-x = 180-107 = 73°

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Answered by Anonymous
4

 \large \underline{ \underline{ \sf \: Solution : \:  \:  \: }}

Given ,

 \starDifference b/w two supplementary angles is 34

We know that ,

 \starSum of any two angles equal to 180° are called supplementary angles , so ,

Let , x and (180 - x) are two supplementary angles

Now , According to question ,

 \sf  \implies x - (180 - x) = 34</p><p> \\  \\  \sf   \implies</p><p>x - 180 + x = 34 \\  \\  \sf   \implies</p><p></p><p>2x = 34 + 180 \\  \\  \sf   \implies</p><p>2x = 214 \\  \\  \sf   \implies</p><p></p><p>x =  \frac{214}{2}  \\  \\  \sf   \implies</p><p></p><p>x = 107 </p><p>

Therefore , the required angles are 107 and 73

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