Question

In the given figure, if x/y = 4 and z/y = 5, then find the measure of y.

Answer 1

Answer is given in the pic.

Answer 2

$Given \: \frac{x}{y} = 4 \implies x = 4y \: --(1)$

$and \: \frac{z}{y} = 5\implies z = 5y \: --(2)$

/* We know that */

$x + y + z = 180\degree$

$\implies 4y + y + 5y = 180 \: [ From \: (1) \:and \: (2) ]$

$\implies 10y = 180$

$\implies y = \frac{180}{10}$

$\implies y = 18 \degree$

Therefore.,

$\red{ Measure \: of \: y } \green { = 18 \degree}$

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