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Byju's Answer
Standard V
Mathematics
Identifying an Unknown Angle of a Triangle
One angle of ...
Question
One angle of a triangle is
40
∘
and the other two angles have equal measures. Measure of each equal angle will be
degree.
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Solution
Let's name the vertices of triangle as A, B and C.
m
∠
A
=
40
∘
m
∠
B
=
m
∠
C
∵
m
∠
A
+
m
∠
B
+
m
∠
C
=
180
∘
⇒
m
∠
B
+
m
∠
C
=
180
∘
−
(
m
∠
A
)
∵
m
∠
B
=
m
∠
C
⇒
2
(
m
∠
B
)
=
180
∘
−
40
∘
⇒
m
∠
B
=
180
∘
−
40
∘
2
=
140
∘
2
=
70
∘
⇒
m
∠
C
=
70
∘
Hence, the measure of the other two equal angles will be
70
∘
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