Question

problem 4 angle a in triangle abc is obtuse. can angle b or angle c be obtuse? yes no

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180 degrees, i.e., $\angle A+\angle B+\angle C = 180^{\circ}$.

Step2: Analyze the nature of obtuse angles

An obtuse angle is an angle greater than 90 degrees. If $\angle A>90^{\circ}$, then $\angle B+\angle C=180^{\circ}-\angle A < 90^{\circ}$.

Step3: Determine the nature of $\angle B$ and $\angle C$

Since $\angle B+\angle C < 90^{\circ}$, neither $\angle B$ nor $\angle C$ can be greater than 90 degrees.

Answer:

No