A parallelogram ABCD with diagonal BD is shown. Angle A is x degrees, angle C is 65 degrees, angle ABD is 72 degrees, angle ADB is y degrees, and BDC is z degrees. ABCD is a parallelogram. m∠ x = ∠∘ , m∠ y = ∠∘ , m∠ z = ∠∘ .
a) m∠ x = 65∘ , m∠ y = 72∘ , m∠ z = 90∘
b) m∠ x = 90∘ , m∠ y = 65∘ , m∠ z = 72∘
c) m∠ x = 72∘ , m∠ y = 90∘ , m∠ z = 65∘
d) m∠ x = 90∘ , m∠ y = 72∘ , m∠ z = 65∘