Question

Find the measure of $\angle b$.

• A. $48°$
• B. $79°$
• C. $53°$
• D. None of These.

Answer 1

The correct option is B

$79°$

Explanation for the correct option:

Given figure:

The Tangent-Chord theorem states that the angle between a tangent and a chord is equal to the inscribed angle on the opposite side of the chord.

As $\angle b$ is formed by the tangent $PQ$ and chord $LM$.

Thus, $\angle b$ will be equal to $\angle MNL$.

So, $\angle b=\angle MNL=79°$.

Therefore, the measure of $\angle b$ is $79°$.