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Question
The value of x is ______.
Options
2
5
10
3
MCQ
Fill in the Blanks
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Solution
The value of x is 5.
Explanation:
∠ABO = 3x + 4
∠DCO = 5x – 6
And AB = AD, DC = CB
⇒ ∠ABO = ∠DCO ...(Vertically opposite angles or base angles of congruent triangles)
So, set the angles equal:
3x + 4 = 5x – 6
Step 1: Solve the equation
3x + 4 = 5x – 6
Bring all terms to one side:
4 + 6 = 5x – 3x
10 = 2x
x = 5
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Chapter 8: Triangles - MULTIPLE CHOICE QUESTIONS [Page 94]
