1.Write and equation for 2 supplementary angles with measures of (2x+5) and (x - 8)

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1 answer

Supplementary angles are two angles whose sum is equal to 180 degrees.

Therefore, we can write the equation as:

(2x+5) + (x - 8) = 180

Simplifying the equation:

2x + 5 + x - 8 = 180
3x - 3 = 180
3x = 180 + 3
3x = 183
x = 183/3
x = 61.

So, the two supplementary angles are (2(61)+5) and (61-8).

Angle 1 = 2(61)+5 = 122+5 = 127 degrees.
Angle 2 = 61-8 = 53 degrees.