Question

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

Explanation:

Step1: Identify right angle

$\angle ABL = 90^\circ$ (marked by square symbol)

Step2: Calculate $\angle CBL$

$\angle ABL + \angle CBL = 180^\circ$ (straight line)
$\angle CBL = 180^\circ - 90^\circ = 90^\circ$

Step3: Check complementary

Complementary sum to $90^\circ$: $90^\circ+90^\circ=180^\circ
eq 90^\circ$

Step4: Check supplementary

Supplementary sum to $180^\circ$: $90^\circ+90^\circ=180^\circ$

Step5: Check adjacent

Share vertex $B$ and side $BL$

Step6: Check linear pair

Form straight line, sum to $180^\circ$

Step7: Check vertical

Vertical angles are opposite, not here

Step8: Check congruent

$\angle ABL = \angle CBL = 90^\circ$

Answer:

• Supplementary
• Adjacent
• Linear Pair
• Congruent