Geometry

Quadrilaterals

Medium

In the given figure ABCD is a rhombus, the value of x is.

40 degrees

50 degrees

90 degrees

60 degrees

✅ Correct Option: 2

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.

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In the given figure ABCD is a rhombus, the value of x is.

Solution

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