Question

triangle knm is isosceles, where angle n is the vertex. what is the measure of angle k? (5x + 10)° (6x - 1)° options: 11°, 25°, 50°, 65°

Explanation:

Step1: Set angles equal (vertex N)

Since N is the vertex, the angle bisector makes equal angles: $5x + 10 = 6x - 1$

Step2: Solve for x

$10 + 1 = 6x - 5x \implies x = 11$

Step3: Calculate angle K

Angle K = $5x + 10 = 5(11) + 10 = 65^\circ$

Answer:

D. 65°