Question
Find the value of ∠C in the triangle given below if the value of ∠CAB = 25o. If AB = BD, what can be the value of ∠D? [3 MARKS]
Answer:
:
Steps: 1 Mark
Solution for ∠C and ∠D: 2 Marks
In the given triangle CAB
Sum of opposite interior angles = exterior angle
Or, ∠C + ∠CAB = 90o
Or, ∠C = 90o - 25o
Or, ∠C = 65o
∵ AB = BD ⇒∠BAD=∠D=y(say) (Equal sides have equal angles opposite to them.)
⇒∠BAD+∠D+90=180
⇒∠BAD+∠D=90
⇒2y=90
∵∠BAD=∠D=y
⇒y=902
⇒y=45
∴∠BAD=∠D=45∘
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:
Steps: 1 Mark
Solution for ∠C and ∠D: 2 Marks
In the given triangle CAB
Sum of opposite interior angles = exterior angle
Or, ∠C + ∠CAB = 90o
Or, ∠C = 90o - 25o
Or, ∠C = 65o
∵ AB = BD ⇒∠BAD=∠D=y(say) (Equal sides have equal angles opposite to them.)
⇒∠BAD+∠D+90=180
⇒∠BAD+∠D=90
⇒2y=90
∵∠BAD=∠D=y
⇒y=902
⇒y=45
∴∠BAD=∠D=45∘
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