Question

Two supplementary angles differ by 34°. Find the angles.​

Answer 1

Answer:

Step-by-step explanation:

for two variables:

let the geate angle be x and smaller angle by y

x-y=34

therefore, x=34+y...... (i)

x+y=180 ......(ii)

substituting (i) in (ii)

34+y+y=180

2y=146

y=73

therefore x=107

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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