Question

in the figure above, if ( x = 70 ) and ( y = 40 ) and the dotted lines bisect the angles with measures ( x^circ ) and ( y^circ ), what is the value of ( z )?
(a) 30
(b) 40
(c) 45
(d) 50
(e) 55

Explanation:

Step1: Find half of $x$

$\frac{x}{2} = \frac{70}{2} = 35$

Step2: Find half of $y$

$\frac{y}{2} = \frac{40}{2} = 20$

Step3: Calculate $z$

$z = \frac{x}{2} + \frac{y}{2} = 35 + 20 = 55$

Answer:

E) 55