Question

What is the measure of angle B in the figure below? о 30° О 45° О 60° O90°

Answer 1

Answer:

45°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = $\frac{adjacent}{hypotenuse}$ = $\frac{3}{3\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$, hence

B = $cos^{-1}$( $\frac{1}{\sqrt{2} }$ ) = 45°