Question

figure vwyx is a kite. what is the measure of angle vxy? (18x - 2)° (12x + 2)° o 72° o 74° o 106° o 108°

Explanation:

Step1: Sum of quadrilateral angles

$90^\circ + (18x-2)^\circ + 90^\circ + (12x+2)^\circ = 360^\circ$

Step2: Simplify equation

$180 + 30x = 360$

Step3: Solve for x

$30x = 180 \implies x=6$

Step4: Calculate angle VXY

$12x+2 = 12*6+2=74^\circ$

Answer:

B. 74°