SOLUTION: Two angles are supplementary. One angle measures 26degrees more than the other one. Find the measure of the two angles.

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Question 79423This question is from textbook geometry reasoning
: Two angles are supplementary. One angle measures 26degrees more than the other one. Find the measure of the two angles. This question is from textbook geometry reasoning

Found 2 solutions by checkley75, funmath:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of 2 sublementary angles=180. thus:
x+(x+26)=180
2x=180-26
2x=154
x=154/2
x=77 answer for the smakller angle &
77+26=103 for the larger angle.
proof
77+108=180
180=180

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are supplementary. One angle measures 26degrees more than the other one. Find the measure of the two angles.
Supplementary angles add up to 180 degrees
If the other angle is: x
The one angle is x+26
Problem to solve:
x+(x+26)=180
x+x+26=180
2x+26=180
2x+26-26=180-26
2x=154
2x/2=154/2
x=77
The other angle is: x=77 degrees
The one angle is: x+26=77+26=103 degrees
:
Sanity Check, do the two angles add to be 180 degrees?
77+103=180 yes.
:
Happy Calculating!!!