Question

Please help mhanifa this is due soon

Answer 1

51°+71°+<C= 180° Sum of interior angle of triangle

C + 122° = 180°

C = 180°- 122°

C = 58°

Answer 2

=A=

Find m∠C

• m∠C = 180° - (51° + 71°) = 58°

Find the missing sides using the law of sines:

• 9.8 / sin 71° = AB / sin 58° = AC / sin 51°
• AB = 9.8 sin 58° / sin 71° = 8.8 cm
• AC = 9.8 sin 51° / sin 71° = 8.1 cm

=B=

Find m∠L

• m∠L = 180° - (42° + 84°) = 54°

Find the missing sides using the law of sines:

• 50 / sin 84° = KL / sin 42° = JK / sin 54°
• KL = 50 sin 42 °/ sin 84° = 33.6 cm
• JK = 50 sin 54° / sin 84° = 40.7 cm

=C=

Find m∠R using the law of sines:

• 17.5 / sin 98° = 15 / sin ∠R
• sin ∠R = 15 sin 98° / 17.5
• sin ∠R = 0.85

• m∠R = arcsin (0.85) = 58.2°

Find the missing angle:

• m∠S = 180° - (98° + 58.2°) = 23.8°

Find the length of QR, use the law of sines:

• 17.5 / sin 98° = QR / sin 23.8°
• QR = 17.5 sin 23.8° /sin 98° = 7.1 m