Question

note: figure not drawn to scale.
in this picture, ( mangle xoz = 78^circ ) and ( mangle yoz = 39^circ ). if ( mangle xoy = (5x + 16)^circ ), what is the value of ( x )?
a. 20.2
b. 4.6
c. 2.3
d. 39

Explanation:

Step1: Relate angles with subtraction

$m\angle XOY = m\angle XOZ - m\angle YOZ$

Step2: Substitute given angle values

$5x + 16 = 78 - 39$

Step3: Simplify right-hand side

$5x + 16 = 39$

Step4: Isolate term with $x$

$5x = 39 - 16$
$5x = 23$

Step5: Solve for $x$

$x = \frac{23}{5}$

Answer:

B. 4.6