Answer:
Angles QRT and QST both measure 78 degrees
Step-by-step explanation:
We are given that
Measure of arc QVT=[tex]156^{\circ}[/tex]
We know that
Central angle is equal to measure of intercepted arc
[tex]arc QVT=\angle QPT=156^{\circ}[/tex]
Inscribed angle formed by same arc are equal
[tex]\angle QRT=\angle QST[/tex]
Inscribed angle is equal to half of the central angle.
[tex]\angle QRT=\angle QST=\frac{1}{2}\times 156=78^{\circ}[/tex]
Hence, measures of angle QRT and angle QST are equal.
Therefore, option A is true.
