Question
Download Solution PDFIn the given figure ABCD is a rhombus, the value of x is.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
∠CAB = 40°, ∠BDC = x°
Concept:
In rhombus ABCD, all sides are equal.
Sum of adjacent angles of rhombus are equal to 180°
Calculation:
∠D = 2 × ∠BDC = 2x [diagonals bisect the angles in rhombus]
∠A = 2 × ∠CAB = 2 × 40 = 80°
Now,
∠A + ∠D = 180°
⇒ 80°+ 2x = 180°
⇒ x = 100/2 = 50°
∴ The value of x is 50°.
Last updated on Jun 17, 2025
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