In a rhombus, diagonals bisect the vertex angles and are perpendicular to each other. The 40 degree angle at A is between side AB and diagonal AC, so angle BAD = 80 degrees. Since consecutive angles of a rhombus are supplementary, angle ADC = 100 degrees. Diagonal DB bisects angle D, so x = 50 degrees.
CUET UG 2022 — General Test Geometry
2022mcqmedium
In the given figure ABCD is a rhombus, the value of x is. 
Official previous-year question
Held on 6 Oct 2022 · Verified 13 Jul 2026.
Options
- A
40 degrees
- B
50 degrees
- C
90 degrees
- D
60 degrees
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