Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X
1 answer:
By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.
<h3>How to determine angle <XYZ?</h3>By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.
<h3>What is the theorem of intersecting secants?</h3>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 secants, angle XYZ will be given by this formula:
<XYZ = ½ × (m<WZ - m<XZ)
Substituting the given parameters into the formula, we have;
<XYZ = ½ × (175 - 105)
<XYZ = ½ × 70
<XYZ = 35°.
By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.
Read more on intersecting secants here: brainly.com/question/1626547
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