Question

Q.10 The difference between two supplementary angles is 34°.Find measurement of both these
angles.​

Answer 1

solution:

Let the smaller 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= 146° /2 =73 °

Therefore smaller angle =x=73 °

Bigger angle =x+34=73+34=107 °

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Answer 2

Let the smaller 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=146/2=73°

Therefore smaller angle=X=73°

Bigger angle=X+34=73+34=107°