Question

Which is a correct classification for the triangle? equiangular triangle obtuse triangle acute triangle right triangle Triangle with two angles labeled 22 degrees and 63 degrees

Answer 1

None of the classifications. 22 + 22+ 63 = 107 degrees but a triangle mus t have 180 degrees.

Answer 2

The triangle is obtuse triangle.

Explanation:

Given two angles of triangle labelled as 22° and 63°. we have to classify the triangle.

Let the third angle be x°

By angle sum property of triangle,

22°+63°+x=180°

⇒ 85°+x=180° ⇒ x=95°

An equiangular triangle is a triangle where all interior angles are equal.

An obtuse triangle is a triangle in which one of the angles is obtuse angle.

An acute triangle is a triangle have all three angles acute.

For right triangle one angle must be of 90°.

Hence, one angle of the triangle is 95° which is obtuse i.e greater than 90°

∴ Given triangle is obtuse.