Question

two supplementary angles differ by 34 find the angles


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Answer 1

Answer:

# Solution -

Let one angle be β. Then, the other angle is ( β + 34° ). It is given that β and ( β + 34° ) are supplementary angles. Two angles, the sum of whose measure is 180°, are called supplementary angles.

Step-by-step explanation:

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Answer 2

Answer:

We know,

⭐ Sum of two supplementary angles = 180°

And, according to the problem, x - y = 34°

✏ Let , x + y = 180° -------(1)

and x - y = 34° --------(2)

So solving (1) and (2) , we get

2x = 180 + 34

=> 2x = 214

=> x = 214 / 2

=> x = 107°

Now putting back the value of x in (1)

107 + y = 180°

=> y = 180° - 107°

=> y = 73°

✔ So tWo angles will be 107° and 73°

➡ Proof of my answer :

107° + 73° = 180°

107° - 73°= 34°

Hope iT helps uH :)