The measure of two supplementary angles are x+10 and 2x-5. Find the values of x and then find the angles

Mathematics

1 answer:

astra-53 [7]2 years ago

6 0

Answer:

68 1/3, 111 2/3

Step-by-step explanation:

The sum of two supplementary angles is 180°, so ...

(x +10) +(2x -5) = 180

3x +5 = 180 . . . . . collect terms

x +5/3 = 60 . . . . . divide by 3

x = 58 1/3 . . . . . . . subtract 5/3

The first angle is ...

x +10 = 58 1/3 +10 = 68 1/3

The second angle is ...

2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3

The angles measure 68 1/3 and 111 2/3.

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