Question

the diagram shows a triangle.
what is the value of z?
z = \square°

Explanation:

Step1: Sum angles to 180°

$$(z-15^\circ)+(2z-47^\circ)+(3z-46^\circ) = 180^\circ$$

Step2: Combine like terms

$$6z - 108^\circ = 180^\circ$$

Step3: Isolate 6z term

$$6z = 180^\circ + 108^\circ$$
$$6z = 288^\circ$$

Step4: Solve for z

$$z = \frac{288^\circ}{6}$$

Answer:

$z = 48^\circ$