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In , and are expressed as and . The remaining angle measures . (a) Find the value of…
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
∠
B
\angle B
∠
B
and
∠
C
\angle C
∠
C
are expressed as
∠
B
=
2
x
+
15
∘
\angle B = 2x + 15^{\circ}
∠
B
=
2
x
+
1
5
∘
and
∠
C
=
3
x
−
5
∘
\angle C = 3x - 5^{\circ}
∠
C
=
3
x
−
5
∘
. The remaining angle
∠
A
\angle A
∠
A
measures
55
∘
55^{\circ}
5
5
∘
. (a) Find the value of
x
x
x
. (b) Using your result from part (a), determine which two sides of
△
A
B
C
\triangle ABC
△
A
B
C
are equal, giving reasons for your conclusion.
Related theory
Properties of Triangles
Triangle Properties
Triangle inequalities
Triangles
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