$$\(A, B, C\)$$ and $$\(D\)$$ are points on the circle, centre $$\(O\)$$. $$\(E F\)$$ is a tangent to the circle at $$\(D\)$$. Angle $$\(A D E=42^{\circ}\)$$ and angle $$\(C O D=162^{\circ}\)$$. Find the following angles, giving reasons for each of your answers. Angle $$\(x\)$$ $$\(x=\)$$ ........................ because ................................................................................................ .................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w20_qp_43 Year:2020 Question No:5(a)(i)

Answer:

\(81^{\circ}\)
Angle at centre is twice angle at circumference oe

Knowledge points:

E4.7.9 angle at the centre of a circle is twice the angle at the circumference

Solution:

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