$$\(A, B, C\)$$ and $$\(D\)$$ lie on the circle. $$\(P C Q\)$$ is a tangent to the circle at $$\(C\)$$. Angle $$\(A C Q=64^{\circ}\)$$. Work out angle $$\(A B C\)$$, giving reasons for your answer. Angle $$\(A B C=\)$$ ...................... because ......................................................................................... ......................................................................................................................................................... . .........................................................................................................................................................
Exam No：0580_m20_qp_22 Year：2020 Question No：15
Answer:
\(116^{\circ}\)
alternate segment theorem
angles in opposite segments are supplementary or cyclic quadrilateral or
angles at a point on a straight line
alternate segment theorem
angles in opposite segments are supplementary or cyclic quadrilateral or
angles at a point on a straight line
Knowledge points:
E4.7.11 angles in opposite segments are supplementary; cyclic quadrilaterals
E4.7.7 angle between tangent and radius of a circle
Solution:
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