Question

1. using the figure below, ∠fdc = 46°. what is the measurement of b? b = ______

Explanation:

Step1: Identify angle relationship

$\angle FDC$ and $\angle b$ are complementary angles (assuming $\angle CDE = 90^{\circ}$ as the angle looks like a right - angle).

Step2: Use the complementary - angle formula

If two angles $\alpha$ and $\beta$ are complementary, then $\alpha+\beta = 90^{\circ}$. Here $\alpha=\angle FDC = 46^{\circ}$ and $\beta = b$. So $b=90^{\circ}-\angle FDC$.

Step3: Calculate the value of $b$

$b = 90^{\circ}-46^{\circ}=44^{\circ}$

Answer:

$44^{\circ}$