Question

2. The variable expressions represent the angle measures of a triangle. Find the measure of each angle. Then classify the triangle by its angles and by its sides m angle K=(10x+10). m angle L=(9x-3). m angle M=(7x-9)

Answer 1

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.