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Find suplementary angles if one angle is 50 degrees less than the other angle.

Sagot :

First angle: x
Angle's supplement: x -50
Sum of the measures of supplementary angles = 180°

Add:
x + x - 50 = 180
2x - 50 = 180
2x = 180 + 50
2x = 230
2x/2 = 230/2
x = 115 

First angle: x = 115°
Angle's supplement: x - 50 = 115 - 50 = 65°

The supplementary angles have measurements of 115° and 65°.

Check:
115° + 65° = 180°
180° = 180°