Question

Find the value of each variable.

Answer 1

Answer:

$y=112\degree$

$z=65\degree$

Step-by-step explanation:

The sum of adjacent angles on a straight line is $180\degree$.

$\Rightarrow 115\degree+z\degree=180\degree$

$\Rightarrow z\degree=180\degree-115\degree$

$\Rightarrow z\degree=65\degree$

The sum of angles in a quadrilateral is 360 degrees.

$\Rightarrow 65\degree+81\degree +102\degree +y=360\degree$

$\Rightarrow 248\degree +y=360\degree$

$\Rightarrow y=360\degree-248\degree$

$\Rightarrow y=112\degree$