two angles are supplementary one angle is 12 degrees more than three times the other angle find the measure of the angle​

Respuesta :

Step-by-step explanation:

x = angle 1

3x + 12 = angle 2

angle 1 + angle 2 = 180

4x + 12 = 180

4x = 168

x = 42 = angle 1

180 - 42 = 138 = angle 2

X= the smaller smaller angle

180° = X + 3X + 12

180° - 12° = 4X

168° = 4X

X = 168 ÷ 4

X = 42°

The bigger angle is 3X + 12

= 3 × 42 + 12

= 126 + 12 = 138°

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