Question

Classify ABC by its angles if mA=32 and mB=55

Answer 1

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.