In the given figure, ABCD is a rhombus. What
is the value of y - x?
D
C
Qy
4o
А
Answers
Answer:
Y = 90°(diagonal of rhombus intersect at 90° always)
X=50° (90°+40°(alt angle) +x=180°)
hence y-x = 90-50= 40°
Step-by-step explanation:
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Asked on January 17, 2020 by
Gurmeet Che
In the following figures, ABCD is a rhombus. Find the values of x and y
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ANSWER
In rhombus, Let the line AC and BD intersect at a point called O.
The angle made by this two line at the Center is 90 degree. ( Property of Rhombus)
∠AOB=∠AOD=∠COD=∠COB=90
∠CBD=∠BDA=y ( Alternate Angles)
∠DCA=∠CAB=x ( Alternate Angles)
∴∠DAO=62−x
In triangle AOD,
∠DAO+∠AOD+∠ODA=180
62 - x + 90 + y = 180
y - x = 180 - 90 - 62
y - x = 28
From all the option only A is follow this equation. so the answer is A.