Question

In the triangle below, m∠X = 4x – 10 and m∠Y = 2x. What is the measure of ∠Z?

Answer 1

Answer:

the value of anglez will be 190 - 6 x

Answer 2

$Given \: in \: the \: triangle \: XYZ , \\m\angle X= (4x-10 ), m\angle Y = 2x$

$\underline{ \red{ To \:find : }}$

$m\angle Z = ?$

$\underline{\green { Solution: }}$

$m\angle X + m\angle Y + m\angle Z = 180\degree$

$\blue{ (\because Angle \:Sum \: Property)}$

$\implies (4x-10) + 2x + m\angle Z = 180\degree$

$\implies 4x - 10 + 2x + m\angle Z = 180\degree$

$\implies 6x - 10 + m\angle Z = 180\degree$

$\implies m\angle Z = 180\degree - 6x + 10$

$\implies m\angle Z = 190\degree - 6x$

Therefore.,

$\red{ m\angle Z}\green{ = 190\degree - 6x}$

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