Question

dada la figura de abajo, encontrar los valores de x y z.
(7x + 43)°
z °
92°
x =
z =

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, \(7x + 43 = 92\).

Step2: Solve for \(x\)

Subtract 43 from both sides: \(7x = 92 - 43 = 49\).
Divide by 7: \(x = \frac{49}{7} = 7\).

Step3: Identify supplementary angles

\(z\) and \(92^\circ\) are supplementary (they form a linear pair), so \(z + 92 = 180\).

Step4: Solve for \(z\)

Subtract 92: \(z = 180 - 92 = 88\).

Answer:

\(x = 7\)
\(z = 88\)