Answer:
Obtuse triangle
Step-by-step explanation:
To classify a triangle by it's angles, we need to find the third angle.
Remember for all triangles, the sum of the interior angles must equal 180°.
If we know ΔABC has these angles:
m∡A = 32°
m∡B = 55°
Then the third angle is cab found found with:
m∡C = 180° - (m∡A + m∡B)
Substitute the angles A and B, then solve.
m∡C = 180° - (32° + 55°)
m∡C = 180° - 87°
m∡C = 93° Missing angle measure
You can classify triangles three ways using angles:
Acute triangle: All angles are acute (less than 90°)
Right triangle: One angle is a right angle (90°)
Obtuse triangle: One angle is obtuse (greater than 90°)
ΔABC has angles 32°, 55°, and 93°. Decide if they are acute, right or obtuse.
32° and 55° are acute angles
93° is an obtuse angle.
If a triangle has one obtuse angle, then it is an obtuse triangle.
∴ ΔABC is an obtuse triangle.
