Question

Which equation correctly describes the relationship between the measures of the angle and arcs formed by the intersecting secants?

Answer 1

Hi there!

Due to the relationships we know,
The measure of angle 1 is equal to one half of arc PQ - arc RS. The correct answer is option 2.

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Answer 2

The correct option is (b).

What is intersecting secants theorem ?

The measure of each angle generated when two secants or chords cross paths inside of a circle is equal to the product of the lengths of their intersected arcs, divided by two.

In this question we apply intersecting secants theorem ,

                              according to theorem we subtract arc PQ to arc RS.  

                 PQ- RS

Then,           m∠1 = $\frac{1}{2}$ ( m PQ - RS )

Therefore , the correct relation is option B.

Learn more about intersecting secants theorem brainly.com/question/19008587 here

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