Question

what is the value of z?
8z - 34°
2z
4z
z = □°
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solve linear equations: mixed review (36)
lesson: exterior angles of triangles

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two opposite interior angles, so:
$8z - 34 = 2z + 4z$

Step2: Simplify right-hand side

Combine like terms:
$8z - 34 = 6z$

Step3: Isolate z terms

Subtract $6z$ from both sides:
$8z - 6z - 34 = 0$
$2z - 34 = 0$

Step4: Solve for z

Add 34 to both sides, then divide by 2:
$2z = 34$
$z = \frac{34}{2}$

Answer:

$17$