The interior angle of a regular polygon is $$\(175^{\circ}\)$$. Calculate the number of sides. .............................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s21_qp_23 Year:2021 Question No:17

Answer:

72

Knowledge points:

E2.5.1 Derive and solve linear equations in one unknown
E2.5.2 Derive and solve simultaneous linear equations in two unknowns.
E2.5.3 Derive and solve simultaneous equations, involving one linear and one quadratic.
E2.5.4 Derive and solve quadratic equations by factorisation, completing the square and by use of the formula.
E2.5.5 Derive and solve linear inequalities. (Including representing and interpreting inequalities on a number line.) (Interpretation of results may be required.)
E4.7.2 angles at a point on a straight line and intersecting straight lines
E4.7.5 angle properties of regular polygons

Solution:

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