Question

the
4
find
A B C D is
a rhombus.
given figure,
the
values of x, y anda
D
C
y
120m F
13cm
B​

Answer 1

Answer:

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.

Answer 2

in triangle AOD,

62-X+90+Y=180

Y-X=180-90-62

Y-X=28

Hence A is following this equation