Answer:
2x+20+3x+10 = 180 (int. angles, parallel)
5x+30 = 180
5x=150
x=30
Using the law of cosines and sines, the measure of angle B is: 38.4°.
<h3>What is the Law of Cosines and Sines?</h3>
Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]
Law of sines is: sin A/a = sin B/b = sin C/c
Use the law of cosines to find c:
c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]
c ≈ 25.8
Use the law of sines to find angle B:
sin B/b = sin C/c
sin B/18 = sin 117/25.8
sin B = (sin 117 × 18)/25.8
sin B = 0.6216
B = sin^(-1)(0.6216)
B = 38.4°
Learn more about the law of cosines on:
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1495-400=1095
1095=15x
x=73
X: number of seats
Answer:
Step-by-step explanation:
1. A = 68
B = 112
c = 68
2. A = 127
3. A = 70
B = 55
C = 25
