Question

question 50 of 50
which type of triangle has 2 angles that measure 45°?
an acute triangle
an obtuse triangle
an equilateral triangle
a right triangle
a scalene triangle

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate the third angle

Given two angles are \(45^\circ\) each, let the third angle be \(x\). Then \(45^\circ + 45^\circ + x = 180^\circ\). Solving, \(x = 180^\circ - 90^\circ = 90^\circ\).

Step3: Identify triangle type

A triangle with a \(90^\circ\) angle is a right triangle. Also, two equal angles mean two equal sides (isosceles), but the key here is the right angle.

Answer:

a right triangle