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m∠uvk = 20, m∠uvw = 180, and m∠kvw = 5x. write an equation then find x.…

Question

m∠uvk = 20, m∠uvw = 180, and m∠kvw = 5x. write an equation then find x. equation: x =

Explanation:

Step1: Identify angle - relationship

Since $\angle UVK+\angle KVW=\angle UVW$, we can write the equation.
$20 + 5x=180$

Step2: Solve the equation for $x$

Subtract 20 from both sides: $5x=180 - 20$.
$5x=160$
Divide both sides by 5: $x=\frac{160}{5}$.
$x = 32$

Answer:

Equation: $20 + 5x=180$
$x = 32$