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Question

Find the value of x in the below diagram given that, ACB = 25o, CBA = 15o and CD is the height of C from the extended line segment BA:  [4 MARKS]


Solution

Properties : 1.5 Marks
Steps : 1.5 Marks
Result : 1 Mark

In the given triangle ABC,
Sum of all angles of a triangle = 180o
Or, CAB + ABC + BCA = 180o
Or, CAB + 15o + 25o = 180o
Or, CAB = 180o - 40o = 140o

For the triangle ACD,
D + X = CAB ( sum of interior angles = exterior angle)
90o + X = 140o ( CD is an altitude from C to extended BA, D = 90o)
Or, X = 50o

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