Answer:
∠QRT and ∠QST both angles have measure 78°
Step-by-step explanation:
Given the figure in which measure of arc QVT is 156°
we have to choose the correct statement.
As given arc QVT=156° i.e ∠QPT=156°
By theorem angle made by same arc i.e inscribed angle formed by same arc are equal.
⇒ ∠QRT=∠QST
Also another theorem angle subtended at the centre is twice the angle at the circumference
⇒ ∠QPT=2∠QRT=2∠QST
[tex]2\angle QRT=\angle QPT=156^{\circ}[/tex]
[tex]\angle QRT=\frac{156}{2}=78^{\circ}[/tex]
⇒ ∠QRT and ∠QST both angles have measure 78°
Hence, option 1 is correct.
