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if <1 and <2 are supplementary angles, m<1=4x° and m<2=8x° then whats the measures of 1 and 2​

1 Answer

6 votes

Answer:

angle 1 = 60 degrees

angle 2 = 120 degrees

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Step-by-step explanation:

Supplementary angles always add to 180 degrees. In other words, the two angles form a straight line.

(angle1) + (angle2) = 180

4x+8x = 180

12x = 180

12x/12 = 180/12 .... dividing both sides by 12

x = 15

Use this x value to find the two angle measures

angle1 = 4x = 4*15 = 60

angle2 = 8x = 8*15 = 120

As a check, angle1+angle2 = 60+120 = 180, which confirms our answer.

User Bahrom
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