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Byju's Answer
Standard VII
Mathematics
Properties of Isosceles and Equilateral Triangles
In a triangle...
Question
In a triangle ABC,
A
B
=
A
C
and
∠
B = 30
∘
. Then value of
∠
A
is
.
A
20
∘
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B
30
∘
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C
40
∘
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D
50
∘
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Solution
The correct option is
C
40
∘
Since AB = AC, the angles opposite these sides will also be equal.
Hence,
∠
B
=
∠
C
⇒
∠
C
=
30
∘
Now using angle sum property
∠
A
+
∠
B
+
∠
C
=
180
∘
∠
A
+
30
∘
+
30
∘
=
180
∘
∠
A
+
60
∘
=
180
∘
∠
A
=
120
∘
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Similar questions
Q.
In
∆ABC, BD ⊥ AC, ∠CAE = 30° and ∠CBD = 40°. Then, ∠AEB = ?
(a) 70°
(b) 80°
(c) 50°
(d) 60°