Question

Find m∠LKM. It is the angle outside a triangle. Bottom left of the triangle is 60 degrees. Bottom right of the triangle is x degrees. Top of the triangle has no information. Outside the triangle is (3x - 70) degrees. A) 60 degrees B) x degrees C) (3x - 70) degrees D) Not enough information to determine.

Answer 1

To find the measure of angle LKM, we need to solve an equation using the angle measurements in the triangle.

Step-by-step explanation:

Given the information, we can determine the measure of angle LKM. The bottom left angle of the triangle is 60 degrees, and the bottom right angle is x degrees. The angle outside the triangle is (3x - 70) degrees.

We know that the sum of the angles in a triangle is 180 degrees. So, we can write the equation:

60 + x + (3x - 70) = 180

Solving this equation will give us the value of x, which we can then use to find the measure of angle LKM.

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