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27 As shown in the diagram below, secants PWR and PTS are drawn to circle O from external point P.
12/
O.
W
T
P5
If m/RPS = 35°and mRS = 121°, determine and state mWT.

Sagot :

Lanuelidn

By applying the Theorem of Intersecting Secant, the measure of angle WT is equal to 51°.

How to determine angle m<WT?

By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the Theorem of Intersecting Secants.

What is the Theorem of Intersecting Secants?

The Theorem of Intersecting Secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

By applying the Theorem of Intersecting Secant, angle P will be given by this formula:

m<P = ½ × (m<RS - m<WT)

Substituting the given parameters into the formula, we have;

35 = ½ × (121 - m<WT)

70 = 121 - m<WT

m<WT = 121 - 70

m<WT = 51°.

Read more on Intersecting Secants here: https://brainly.com/question/1626547

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View image Lanuel
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