Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning. 57° Angle CBA measures [ Select ] degrees, because tangent lines are [ Select] to a radius drawn to the point of tangency. The measures of the angles in a triangle add up to ( Select] |degrees, so we can subtract 57 and 90 from 180 to find that the measure of angle BCA is [ Select ) degrees.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Line BC is tangent to the circle centered at
A. Find the measure of angle BCA. Explain or
show your reasoning.
57°
Angle CBA measures ( Select]
degrees, because tangent lines are
[ Select ]
to a radius drawn to the point of tangency. The measures
of the angles in a triangle add up to ( Select]
|degrees, so we can
subtract 57 and 90 from 180 to find that the measure of angle BCA is
[ Select )
degrees.
Transcribed Image Text:Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning. 57° Angle CBA measures ( Select] degrees, because tangent lines are [ Select ] to a radius drawn to the point of tangency. The measures of the angles in a triangle add up to ( Select] |degrees, so we can subtract 57 and 90 from 180 to find that the measure of angle BCA is [ Select ) degrees.
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