If \( \left(2 \theta+30^{\circ}\right) \) and \( \left(45^{\circ}-\theta\right) \) are acute ang...

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If \( \left(2 \theta+30^{\circ}\right) \) and \( \left(45^{\circ}-\theta\right) \) are acute angles, then find the degree measure of \( \theta \) satisfying \( \sin \left(2 \theta+30^{\circ}\right)=\cos \left(45^{\circ}-\theta\right) \) is
a. \( 45^{\circ} \)
b. \( 60^{\circ} \)
c. \( 15^{\circ} \)
d. \( 90^{\circ} \)
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