the supplementary angles differ by 34 degrees find the angles?
Answers
Answered by
1
Answer:
Step-by-step explanation:
Let the smaller angle be x
o
Since the two angles differ by 34
o
, the bigger angle =x+34
o
Since the sum of the supplementary angles is 180
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We have x+(x+34)=180
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2x+34=180
o
2x=180−34=146
o
x=
2
146
o
=73
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Therefore smaller angle =x=73
o
Bigger angle =x+34=73+34=107
o
Answered by
0
Answer:
The two angles are 73° and 107°.
Step-by-step explanation:
Let one angle be x and another angle be (x+34).
If the sum of two angles is 180° then the two angles are called supplementary.
=> x + x + 34 = 180
=> 2x + 34 = 180
=> 2x = 180 - 34
=> 2x = 146
=> x = 146/2
=> x = 73°
x + 34 = 73 + 34
= 107°
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