WAEC SSCE - General Mathematics - 1998 (Objective)

Question 1 Report

Find the angle x in the diagram above

310^o

230^o

190^o

130^o

100^o

Answer Details

In the given diagram, there is a straight line that intersects two parallel lines, forming several angles. By the properties of parallel lines, we know that the alternate interior angles are equal. Thus, angle x is equal to the alternate interior angle formed by the transversal and the parallel line. We can see that angle x is adjacent to the angle of 130^o, which is one of the interior angles of the triangle formed by the intersecting lines. Therefore, the sum of angle x and 130^o should be equal to 180^o (the sum of angles in a triangle). Thus, we have: angle x + 130^o = 180^o angle x = 180^o - 130^o angle x = 50^o Therefore, the answer is (E) 100^o.

Read lesson note on Angles And Intercepts On Parallel Lines (WAEC)






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