Question

name the types of angles shown.
check all that apply:
complementary angles
right angle
supplementary angles
straight angle

Explanation:

Step1: Recall angle definitions

• Complementary angles: Sum to \(90^\circ\).
• Right angle: \(90^\circ\).
• Supplementary angles: Sum to \(180^\circ\).
• Straight angle: \(180^\circ\) (forms a straight line).

Step2: Analyze the diagram

• Points \(A\), \(B\), \(C\) are colinear (form a straight line), so \(\angle ABC\) is a straight angle (\(180^\circ\)).
• \(\angle ABD\) and \(\angle DBC\) are adjacent angles forming \(\angle ABC\) (a straight line), so their sum is \(180^\circ\) (supplementary angles).

Answer:

supplementary angles, straight angle