Question

two supplementary angles differ by 48°.find the angle​

Answer 1

Answer:

114° and 66°

Step-by-step explanation:

Let supplementary angles be x and y

According to Question,

x-y = 48° (taking x>y) -------------(i)

x+y = 180° (supplementary angles)-------(ii)

Adding (i) and (ii)

x-y+x+y = 180+48

2x = 228°

x = 114°

Substituting value of x in (ii)

114°+y = 180°

y = 180-114

y = 66°

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Answer 2

Answer:

66,114

Step-by-step explanation:

Let two angles = x ,y

x - y = 48 degree

Therefore, y = 48 + x

W.K.T, two supplementary angles sum always 180 degree.

So, x + x+48 = 180

2x + 48 = 180

2x=180 - 48

2x= 132

x = 66   x + 48 =114

Therefore two angles = 66,114

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