A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other
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Answer:
Step-by-step explanation:
The triangle KLM is shown in the attached photo. The sum of the angles in a triangle is 180 degrees. It means that
angle K + angle L + angle M = 180 degrees. Since
m angle K=(10x+10). m angle L=(9x-3). m angle M=(7x-9), then
10x + 10 + 9x - 3 + 7x - 9 = 180
10x + 9x + 7x = 180 + 9 + 3 - 10
26x = 182
x = 182/26
x = 7
m angle K=(10x+10) = 10×7 + 10 = 80 degrees
m angle L=(9x-3) = 9×7 - 3 = 60 degrees
m angle M=(7x-9) = 7×7 - 9 = 40 degrees.
The triangle is an acute triangle because each angle is lesser than 90 degrees
The triangle is scalene triangle because non of the sides are equal.
