Question

two supplementary angle are differ by 34 find the angle

Answer 1

two supplementary angle =360
360-34=326

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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