Question

what is the measure of XZW

Answer 1

c) 95 is the correct answer

try it with angle sum property and exterior angle

Answer 2

$In \:\triangle XYZ , \\\angle {XYZ} = 65\degree$

$\angle {YXZ} + 150\degree = 180\degree$

$\blue { ( Linear \: pair ) }$

$\angle {YXZ} = 180\degree - 150\degree$

$\angle {YXZ} = 30\degree \: -- (1)$

$Now ,\angle { XZW} = \angle {YXZ} + \angle {XYZ}$

$\blue { Exterior \:angle \:at \: Z = Sum \:of \: }$

$\blue { interior \: opposite \: angles }$

$\implies ,\angle { XZW} = 30 \degree + 65\degree \\= 95 \degree$

Therefore.,

$\red { \angle { XZW}} \green { = 95 \degree }$

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