Question

angle relationships
boom cards
select all that apply.
∠lbs and ∠cbs are:
complementary supplementary
adjacent vertical
linear pair congruent

Explanation:

Step1: Identify angle properties

We know $\angle ABL = 90^\circ$, so $\angle LBS + \angle CBS = 180^\circ - 90^\circ = 90^\circ$. Also, $\angle LBS$ and $\angle CBS$ share the side $BS$, have a common vertex $B$, and no overlapping interior.

Step2: Match with definitions

• Complementary: Sum to $90^\circ$, which fits.
• Adjacent: Share vertex/side, no overlap, which fits.
• Supplementary: Sum to $180^\circ$, does not fit.
• Vertical: Opposite intersecting lines, does not fit.
• Linear Pair: Sum to $180^\circ$, does not fit.
• Congruent: Equal measure, no proof of this, does not fit.

Answer:

• Complementary
• Adjacent