Question

list the angles of the triangle in order from smallest to largest. note that the figure is not drawn to scale. choose the correct order of the angles from smallest to largest. ○ a. ∠m, ∠l, ∠k ○ b. ∠l, ∠m, ∠k ○ c. ∠m, ∠k, ∠l

Explanation:

Step1: Find the value of \(x\)

By the triangle - angle sum theorem, \(x + 3x+95^{\circ}=180^{\circ}\).

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Step2: Calculate the measures of \(\angle M\) and \(\angle L\)

\(\angle M=x = 21.25^{\circ}\), \(\angle L = 3x=3\times21.25^{\circ}=63.75^{\circ}\), \(\angle K = 95^{\circ}\)

Step3: Compare the angles

Since \(21.25^{\circ}<63.75^{\circ}<95^{\circ}\), so \(\angle M<\angle L<\angle K\)

Answer:

A. \(\angle M,\angle L,\angle K\)