MATHEMATICS HIGH SCHOOL

Point O is the center of the circle in the diagram. What is m∠BCA ?A80°
B75°
C70°
D65°
Point O is the center of the circle in the - 1

Answers

Answer 1
Answer:

The correct option is C.

Do quadrilaterals add up to 360?

Angle Sum of a Quadrilateral For any quadrilateral, we can draw a diagonal line to divide it into two triangles. Each triangle has an angle sum of 180 degrees. Therefore the total angle sum of the quadrilateral is 360 degrees.

The sum of angle around a point equal 360°

so (BOA) = 360-250=110°

and the sum of angle in the shape CAOB = 360°

so BCA = 360-(110+90+90)= 70°

Why do Angles in a Quadrilateral Sum to 360 Degrees?

Angles in a quadrilateral add to 360° because two triangles can be made inside any quadrilateral by drawing straight lines from one corner to the other corners. Each triangle contains 180° and so, two triangles contain 360°.

Learn more about quadrilateral here brainly.com/question/23935806

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Answer 2
Answer: the sum of angle around a point equal 360°
so (BOA) = 360-250=110°
and the sum of angle in the shape CAOB = 360°
so BCA = 360-(110+90+90)= 70°
THE ANSWER IS C.70°

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