Question

2. Each question carries '2' mark.
The supplementary angles differ by 34º. Find the angles.​

Answer 1

sum of supplementary angles = 180

let the unkown angles be - x and x+34

= x+x+34=180

2x = 180 - 34

2x =  146

x = 146 / 2

one angle - 73

another angle = 107

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Answer 2

Answer:

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=

2÷146°

=73 °

Therefore smaller angle =x=73 °

Bigger angle =x+34=73+34=107 °

Step-by-step explanation:

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