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7, an angle ,
a rhombus is 50% find the size of
angles of one of the triangles which are
formed by the
diagonals
:
the
the
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Answer:
ANSWER
ABCD is a rhombus, ∠A=50
o
Opposite angles of a rhombus are equal.
∴ ∠A=∠C=50
o
∴ ∠B=∠D
Sum of four angles of a rhombus is 360
o
.
∴ ∠A+∠B+∠C+∠D=360
o
⇒ 50
o
+∠B+50
o
+∠B=360
o
[ Since, ∠B=∠D ]
⇒ 100
o
+2∠B=360
o
⇒ 2∠B=260
o
⇒ ∠B=130
o
∴ ∠B=∠D=130
o
We get, remaining three angles are 50
o
,130
o
,130
o
.
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