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3 years ago

Two supplementary angles differ by 34. Find the angles.

Mathematics

2 answers:

tino4ka555 [31]3 years ago

6 0

Answer:

73° and 107°

Step-by-step explanation:

Mark one of the angles as x

then the other angle is (x + 34)

Two angles are called supplementary when their measures add up to 180 degrees.

So the sum of those angles is always 180°

x + (x + 34) = 180

2x + 34 = 180

2x = 180 - 34

2x = 146

// divide both sides by 2

x = 73°

Now find the other angle

x + 34 = 73 + 34 = 107°

erastovalidia [21]3 years ago

4 0

Answer:

x=107,y=73 is ur answer

Step-by-step explanation:

let two angles be x & y

x-y=34(given)

x=34+y................1

x+y=180(supplementary)

putting the value of x

34+y+y=180

2y=180-34

y=146/2=73

:.y=73

putting the value of y in equation 1

x=34+73=107

:.x=107

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

Two supplementary angles differ by 34. Find the angles.