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State True/False.

A triangle with the angles 10°, 80°, and 100° doesn’t exist.

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True

False

answer is A.

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Detailed Solution

Given values of angles are 10°, 80°, and 100°.
We know that the sum of the angles of the triangle is always

180 °

.
Here, the sum of angles is,

10 ° + 80 ° + 100 ° = 190 °

Since the sum of all the angles is

190 °

which is not equal to

180 ° .

Therefore, triangles with the angles 10°, 80°, and 100° cannot exist.
Thus, the given statement is true.
Hence, option (1) is correct.

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