Question

can a triangle have an angle that measures 179°? if so, what type of triangle would it be?
a. yes, such a triangle would be isosceles.
b. yes, such a triangle would be obtuse.
c. yes, such a triangle would be obtuse and isosceles.
d. no such triangle exists.
please select the best answer from the choices provided
a
b
c
d

Explanation:

of angles in a triangle is $180^\circ$.

Step2: Calculate remaining angle sum

$180^\circ - 179^\circ = 1^\circ$, so the other two angles add to $1^\circ$.

Step3: Classify by angle type

An angle $>90^\circ$ makes it obtuse.

Step4: Rule out isosceles requirement

The two small angles don't need to be equal (e.g., $0.6^\circ$ and $0.4^\circ$ work), so isosceles is not mandatory.

Answer:

of angles in a triangle is $180^\circ$.

Step2: Calculate remaining angle sum

$180^\circ - 179^\circ = 1^\circ$, so the other two angles add to $1^\circ$.

Step3: Classify by angle type

An angle $>90^\circ$ makes it obtuse.

Step4: Rule out isosceles requirement

The two small angles don't need to be equal (e.g., $0.6^\circ$ and $0.4^\circ$ work), so isosceles is not mandatory.