1.)In the figure above, PQRS is an inscribed quadrilateral, and the measure of arc RSP=206º. What is m∠PST?
a.)103º
b.)206º
c.)360º
This has a diagram but I can't post it!
1.)In the figure above, PQRS is an inscribed quadrilateral, and the measure of arc RSP=206º. What is m∠PST?
a.)103º
b.)206º
c.)360º
To find the measure of angle PST, we need to consider the properties of inscribed quadrilaterals.
In an inscribed quadrilateral, opposite angles are supplementary. This means that if we denote angle PST as x, then angle RSP (which is given as 206º) and angle PTS (opposite angle to PST) will add up to 180º.
Therefore, we can set up the equation:
206º + x = 180º
Now we can solve for x:
x = 180º - 206º
x = -26º
However, angles cannot have negative measures. So, the measure of angle PST is not -26º.
Given the answer choices, we can conclude that none of the options provided (a, b, c) is the correct answer.