Question

Two Supplementary angles different by 34 the find the angles

Answer 1

Answer:

Let 1st angle be 'x' and 2nd angle be (x-34).

so, x + (x-34) = 180

x + x - 34 = 180

2x = 180+34

x = 214/2

x = 107

Now, 1st angle= x = 107

2nd angle= (x-34)= 107-34=73

Step-by-step explanation:

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Answer 2

Answer:

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Let the small angle be x°

Since the two angles differ by 34°

,the bigger angle = x + 34°

Since the sum of the supplementary angles is 180°

We have ,

$x + (x + 34) = 180° \\ 2x + 34 = 180° \\ 2x = 180 - 34 = 146° \\ x = \frac{146°}{2} = 73°. \\ therefore \: smaller \: angle = x = 73° \\ bigger \: angle \: = x + 34 = 73 + 34 = 107°$

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