QuestionJAMBGeneral Maths1991ObjectiveAngles, triangles & polygonsAngles, triangles & polygons
In the figure, the two horizontal lines are parallel. Find the value of y.
Worked solution (try it first)
Angles on a straight line at the bend: the upper slanted segment makes
180∘−152∘=28∘ with the horizontal.
Draw a horizontal line through the apex.
By alternate angles the upper segment makes
28∘ with it, so the downward segment makes
28∘+30∘=58∘ with it.
By alternate angles again, the downward segment makes
58∘ with the lower line on its right-hand side.
y is on the left, so
y=180∘−58∘=122∘, option B.
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