Question

1 what type of angle is angle r?
diagram: points s, r, t with segment sr and rt forming an angle at r
a. obtuse
b. acute
c. straight
d. right

Explanation:

To determine the type of angle at \( R \) (angle \( \angle SRT \)):

• An acute angle is less than \( 90^\circ \).
• A right angle is exactly \( 90^\circ \).
• A straight angle is exactly \( 180^\circ \) (a straight line).
• An obtuse angle is greater than \( 90^\circ \) but less than \( 180^\circ \).

From the diagram, \( \angle SRT \) is greater than \( 90^\circ \) (it “opens” wider than a right angle) and less than \( 180^\circ \) (not a straight line). Thus, it is obtuse.

Answer:

A. obtuse