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Find the measures of two supplementary angles if the difference between the measures of the two angle is 62 degrees

User Bsmoo
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1 Answer

3 votes

Answer:

121° and 59°

Explanation:

We'll assign the two angles 'a' and 'b'. Since they are supplementary, this means they add to 180°. We can model this peoblem with the expressions:

a + b = 180° and a - b = 62°

Let's use the second equation to find a substitution for a:

a - b = 62°

a = 62° + b

Now substitute this in the first equation and solve:

(62° + b) + b = 180°

62° + 2b = 180°

2b = 118°

b = 59°

59° + 62° = 121° this is angle a

User Elliott Collins
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