Question

what is the measure of angle l? 70 110 55 40 (with a triangle labeled k, l, m where angle k is 70° and sides lk and lm are marked as equal)

Explanation:

Step1: Identify triangle type

The triangle \( \triangle KLM \) has two equal sides (marked with ticks), so it's isosceles. Thus, \( \angle K = \angle M = 70^\circ \).

Step2: Sum of triangle angles

The sum of angles in a triangle is \( 180^\circ \). Let \( \angle L = x \). Then \( x + 70^\circ + 70^\circ = 180^\circ \).

Step3: Solve for \( x \)

Simplify: \( x + 140^\circ = 180^\circ \). Subtract \( 140^\circ \): \( x = 180^\circ - 140^\circ = 40^\circ \).

Answer:

40