The sum of two supplementary angles is 180 degrees. Therefore, we can write the equation:
(2x + 5) + (x - 8) = 180
To solve this equation, we combine like terms:
2x + x + 5 - 8 = 180
3x - 3 = 180
Now, we isolate the variable by adding 3 to both sides:
3x = 180 + 3
3x = 183
Finally, divide both sides by 3 to solve for x:
x = 183/3
x = 61
So, the measures of the two supplementary angles are (2x+5) and (x-8):
1. Angle 1 = (2 * 61 + 5) = 127 degrees.
2. Angle 2 = (61 - 8) = 53 degrees.
1.Write and equation for 2 supplementary angles with measures of (2x+5) and (x - 8)
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