Question

arc qvt measures 156°.which statement must be true?angles qrt and qst both measure 78°.angles qrt and qst both measure 156°.angle qrt measures 78° and angle qst measures 102°.angle qrt measures 156° and angle qst measures 24°.

Explanation:

Step1: Recall inscribed angle theorem

An inscribed angle is half its intercepted arc.

Step2: Identify intercepted arcs

$\angle QRT$ intercepts arc $QVT$; $\angle QST$ intercepts arc $QVT$.

Step3: Calculate angle measures

$\angle QRT = \angle QST = \frac{1}{2} \times 156^\circ = 78^\circ$

Answer:

Angles QRT and QST both measure 78°.