Question

the measures of two angles in a triangle are 32° and 116°. which type of triangle is it? right acute scalene isosceles

Explanation:

Step1: Find the third - angle measure

The sum of angles in a triangle is 180°. Let the third angle be $x$. Then $x=180-(32 + 116)=180 - 148 = 32^{\circ}$.

Step2: Analyze triangle types

• Right - angled triangle has one 90° angle. This triangle doesn't have a 90° angle.
• Acute - angled triangle has all angles less than 90°. This triangle has an angle of 116°>90°.
• Scalene triangle has all different - sized angles. This triangle has two 32° angles.
• Isosceles triangle has at least two equal - sized angles. Since two angles are 32°, it is an isosceles triangle.

Answer:

Isosceles