4MA0 Higher January 2016 Paper 3 Q17

EdexcelHigherOld spec5 marksCircle Theorems

17

Circle centre O with points L, M and P on the circle and angle LMP = 48°

Diagram NOT accurately drawn

\(L\), \(M\) and \(P\) are points on a circle, centre \(O\)

Angle \(LMP\) = 48°

(a)
(i) Write down the size of angle \(LOP\)
(ii) Give a reason for your answer.
(2)
Circle through Q, R, S and T with tangent ATB at T, angle STR = 26° and angle RQT = 73°

Diagram NOT accurately drawn

\(Q\), \(R\), \(S\) and \(T\) are points on a circle.
\(ATB\) is the tangent to the circle at \(T\)

Angle \(STR\) = 26°
Angle \(RQT\) = 73°

(b) Work out the size of angle \(STA\)
Give a reason for each stage in your working. (3)
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