Question

Which is a correct classification for the triangle?

acute triangle

equiangular triangle

right triangle

obtuse triangle
Triangle with two angles labeled 27 degrees and 53 degrees

Answer 1

Answer: Obtuse triangle

Step-by-step explanation: I had taken the Quiz

Answer 2

Option (d) is correct.

Measure of one angle is grater than 90° so the triangle is obtuse triangle.

Explanation:

Given : The triangle with two angles labeled 27 degrees and 53 degrees.

we have to find the correct classification for the triangle given .

Since given measure of two angles labeled 27 degrees and 53 degrees.

We can find the measure of third angle by using angle sum property of triangles.

Angle sum property of a triangle states that the sum of angles of a triangle is 180°

Let ΔABC be with m∠A = 27° m∠B = 53°

Thus, ∠A + ∠B + ∠C = 180°

putting, we get,

27° + 53° + ∠C = 180°

∠C = 180° - 80°

∠C = 100°

Since, measure of one angle is grater than 90° so the triangle is obtuse triangle.