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HELP- maths circle theorem
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33 votes
33 votes
HELP- maths circle theorem

HELP- maths circle theorem-example-1
User ElRudi
by
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1 Answer

17 votes
17 votes

Answer:

a) 115°

b) 30°

Explanation:

∠D = ∠SPB = 35°

RS // QP ∠C = ∠D = 35°

∠RQP + ∠RSP = 180° ∠b = 180°-35°-35°-80° = 30°

∠a = 180° - 30° - 35° = 115°

check: ∠a = 1/2 (arc QP + arc PS) = 1/2 (160°+70°) = 115°

HELP- maths circle theorem-example-1
User Beejee
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