three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
Assuming that the horizontal part of the bridge is square with the vertical, the two angles total 90o.
So, add them together (2x – 20) + (4x – 10) = 90
Add like terms 6x – 30 = 90
Add 30 to both sides 6x = 120
Divide both sides by 4 x = 20
Substitute the value of x
back into the original expressions 2x – 20 = 40 – 20 = 20o this is the angle on the left
4x – 10 = 80 – 10 = 70o this is the angle on the right
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