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Byju's Answer
Standard VII
Mathematics
Angle Sum Property of a Triangle
Which of the ...
Question
Which of the following statements are true
(
T
)
and which are false
(
F
)
v
i
)
A triangle can have two obtuse angles
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Solution
Statement: A triangle can have two obtuse angles.
Sum of two obtuse angles is more than
180
∘
. Hence third angle will not exist. Hence, not possible.
Hence the statement is False.
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Q.
Which of the following statements are true (T) and which are false (F):
(i) Sum of the three angles of a triangle is 180°.
(ii) A triangle can have two right angles.
(iii) All the angles of a triangle can be less than 60°
(iv) All the angles of a triangle can be greater than 60°.
(v) All the angles of a triangle can be equal to 60°.
(vi) A triangle can have two obtuse angles.
(vii) A triangle can have at most one obtuse angles.
(viii) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.
(ix) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.
(x) An exterior angle of a triangle is less than either of its interior opposite angles.
(xi) An exterior angle of a triangle is equal to the sum of the two interior opposite angles.