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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.

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 class=

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W0lf93
Answer – The sum of their measures is 180 degreed

When two diameters of the same circle intersect, four arcs are created. The
following are true of these arcs:
- Opposite arcs are equal in measure
- The sum of the measure of adjacent arcs is 180 degrees
- The sum of the measure of all the arcs is 360 degrees

As the intersect lines are the diameter of the circle. Thus For the two adjacent arcs created by two intersecting diameters the sum of their measures is 180°.

We have to find true statement regarding two adjacent arcs created by two intersecting diameters.

What is angles of intersecting chords theorem?

When the two chords intersect inside a circle, then the value of the angle formed is half of the sum of the values of arc intercepted by the angle and vertical angle.

Now this chords are the diameter of the circle for the given problem. For this case the opposite arc will be equal as,

[tex]\angle PTS=\angle QTR\\\angle STR=\angle PQT[/tex]

Now for the triangle it is known that the sum of all the angle is 360 degrees of the arc.

As the intersect lines are the diameter of the circle. Thus the along side angles will have sum of 180 degrees.

Hence for the two adjacent arcs created by two intersecting diameters the sum of their measures is 180°.

Learn more about the intersecting chords theorem here;

https://brainly.com/question/13950364

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