Question

name the largest and smallest angle in each triangle. 19) a) ∠b,∠d b) ∠b,∠c c) ∠c,∠b d) ∠d,∠b 20) a) ∠k,∠j b) ∠l,∠j c) ∠l,∠k d) ∠k,∠l 21) a) ∠m,∠n b) ∠m,∠l c) ∠n,∠l d) ∠l,∠m 22) a) ∠q,∠r b) ∠p,∠r c) ∠q,∠p d) ∠r,∠q

Explanation:

Step1: Recall angle - side relationship in a triangle

In a triangle, the largest angle is opposite the longest side and the smallest angle is opposite the shortest side.

Step2: Analyze triangle in 19)

In $\triangle BCD$, the sides are $BD = 14$, $BC=17$, $CD = 19$. The longest side is $CD$, so the largest angle is $\angle B$. The shortest side is $BD$, so the smallest angle is $\angle C$.

Step3: Analyze triangle in 20)

In $\triangle JKL$, the sides are $JK = 17$, $KL=8$, $JL = 16$. The longest side is $JK$, so the largest angle is $\angle L$. The shortest side is $KL$, so the smallest angle is $\angle J$.

Step4: Analyze triangle in 21)

In $\triangle LMN$, the sides are $LM = 12$, $MN=21$, $LN = 23$. The longest side is $LN$, so the largest angle is $\angle M$. The shortest side is $LM$, so the smallest angle is $\angle N$.

Step5: Analyze triangle in 22)

In $\triangle PQR$, the sides are $PQ = 6$, $QR=10$, $RP = 13$. The longest side is $RP$, so the largest angle is $\angle Q$. The shortest side is $PQ$, so the smallest angle is $\angle R$.

Answer:

1. C
2. B
3. A
4. A