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Byju's Answer
Standard IX
Mathematics
Triangles
In the figure...
Question
In the figure given below
P
Q
R
S
is a square and
Δ
Q
T
R
is an equilateral triangle. Find
∠
Q
M
R
A
45
o
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B
30
o
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C
75
o
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D
60
o
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E
N
o
n
e
o
f
t
h
e
s
e
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Solution
The correct option is
C
75
o
P
Q
R
S
is a square
△
Q
T
R
is equilateral triangle.
∠
R
T
Q
=
∠
T
Q
R
=
∠
Q
R
T
=
60
∘
(
∵
Q
T
R
is equilateral triangle)
∠
Q
S
R
=
45
∘
(
∵
Q
S
is diagonal of square
P
Q
R
S
)
In
△
Q
R
S
∠
S
Q
R
=
180
∘
−
(
90
∘
+
45
∘
)
=
45
∘
I
n
△
Q
M
R
:
∠
Q
R
M
=
60
∘
,
∠
M
Q
R
=
45
∘
∴
Q
M
R
=
180
∘
−
(
60
∘
+
45
∘
)
=
75
∘
Suggest Corrections
0
Similar questions
Q.
In the figure below PQRS is a square LSR is an equilateral triangle Find the value of x + y + z
Q.
In the given figure,
P
Q
R
is an equilateral triangle and
Q
R
S
T
is a square. Then
∠
P
S
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=
Q.
In the given figure, PQRS is a square and SRT is an equilateral triangle. Prove that
(i) PT = QT
(ii) ∠TQR = 15°