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maddy1276
29.01.2022 •
Mathematics
Can somebody help me with this i have 20 minutes
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Ответ:
8°
Step-by-step explanation:
Let o be the center of the circle. Consider triangle AOB. This triangle is isosceles triangle, because OB = OA as radii of the circle. Angles adjacent to the base AB of the triangle AOB are congruent (as angles adjacent to the base of isosceles triangle). From the diagram, the measure of the arc AB is 100°, then the measure of the central angle AOB is 100° too. The sum of the measures of all interior angles of the triangle is always 180°, so
AC is tangent to the circle, this means AC is perpendicular to the radius OA, so
In triangle ABC,