the diagram shows a triangle. what is the value of y? y = □°

Explanation:

Step1: Use the triangle angle sum property

The sum of angles in a triangle is (180^{\circ}). So, (41^{\circ}+34^{\circ}+15y = 180^{\circ}).

Step2: Simplify the left - hand side

First, add (41^{\circ}) and (34^{\circ}): (41 + 34=75). The equation becomes (75+15y = 180).

Step3: Solve for (y)

Subtract (75) from both sides: (15y=180 - 75). So, (15y = 105). Then divide both sides by (15): (y=\frac{105}{15}).

Answer:

(7)