The measure of the side ML is 10. OL is 90, and LN is 12 degrees.
What is the altitude?
The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.
The altitude makes an angle of 90° to the side opposite to it.
MOL + N0L = 180
90 + 9x +27 = 180
117 + 9x = 180
9x = 180 - 117
9x = 63
x = 63/9
x = 7
The measure of the side ML = 3x - 11 = 3(7) - 11 = 21 - 11 = 10
The measure of the side OL = 9x + 27 = 9(7) + 27 = 63 + 27 = 90
The measure of the side LN = 2x -2 = 2(7) -2 = 14 - 2 = 12
Hence, the measure of the side ML is 10. OL is 90, and LN is 12 degrees.
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