Question

Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent. What is true regarding two adjacent arcs created by two intersecting diameters? They always have equal measures. The difference of their measures is 90°. The sum of their measures is 180°. Their measures cannot be equal.

Answer 1

Answer: the sum of their measures is 180 degrees

Step-by-step explanation:

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Answer 2

The angles R T S and Q T P are vertically opposite angles. So that they always have equal measures.

Circle :

In given circle, T is center of circle .

and RP and SQ are diameter of circle which are intersecting at center T.

The diagram of circle is attached below.

In the diagram of circle, Angles R T S and Q T P are congruent.

So that,  $\angle RTS=\angle QTP$

Since, both diameter are crossing each other.

So that, Angles R T S and Q T P are vertically opposite angles.

Therefore, they always have equal measures.

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