Question

Two supplementary angle differ from each other 48 degree find its measurement

Answer 1

Supplementary angle=180°
Let the smaller angle = x

If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals x+48.

The sum of the two angles is 180, so...

x+x+48=180

Add the variableterms
2x+48=180

Subtract 48 from both sides
2x=132

Divide both sides by 2
2x2=1322

x=66 This is the measure of the smaller angle.

The bigger angle = x+48=114

Answer 2

x+y=180

x=180-y --------(1)

x-y=48

x=48+y --------(2)

from eq. (1) & (2)

48+y=180-y

2y=180-48

y=132/2

y=66

putting the value of y in eq. (2)

x=48+66

x=114

so, the answer is 114 ans 66 ✔️✔️

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