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2018 WAEC Mathematics Theory (a) The diagram, = IWYI = IXZI and < WXY = 80\(^o\). What is the...

Mathematics
WAEC 2018

(a) The diagram, = IWYI = IXZI and < WXY = 80\(^o\). What is the size of < XWZ?

(b) A man was charged 2 kobo per month for every N1.00 he borrowed from a bank. At what rate per annum was the interest charged?

 

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Explanation

(a) First joining XZ and WY, we have < XWY = < XZY = \(\frac{1}{2}\)(180° — 80°) = 50°. This implies that < ZXY = 50°(base angles of an isosceles triangle). So that < XWZ = 180° - 80° = 100°.

(b) The rate in every N1.00 = \(\frac{2}{100}\) so that the rate of interest charged per annum will be \(\frac{2 \times 12}{100}\) x 100 which gives 24%.

 


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