$$\(A, B, C\)$$ and $$\(D\)$$ are points on the circle, centre $$\(O\)$$. $$\(E F\)$$ is a tangent to the circle at $$\(D\)$$. Angle $$\(A D E=42^{\circ}\)$$ and angle $$\(C O D=162^{\circ}\)$$. Find the following angles, giving reasons for each of your answers. Angle $$\(z\)$$ $$\(z=\)$$ ........................ because ................................................................................................ ................................................................................................................................................. . .................................................................................................................................................
Exam No：0580_w20_qp_43 Year：2020 Question No：5(a)(iii)
Answer:
\(123^{\circ}\)
Angles on a straight line \([=180]\) Opposite angles in a cyclic quadrilateral are supplementary oe
Angles on a straight line \([=180]\) Opposite angles in a cyclic quadrilateral are supplementary oe
Knowledge points:
E4.7.11 angles in opposite segments are supplementary; cyclic quadrilaterals
E4.7.2 angles at a point on a straight line and intersecting straight lines
Solution:
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