. Given: B is the midpoint of AC, AB = CD Prove: C is the midpoint of BD
B
Statements
Reasons
1. B is the midpoint of AC
1.
2. AB = BC
2.
3. AB CD
3.
4. AB = CD
4.
5. BC = CD
5.
6. C is the midpoint of BD
6.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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