I need help thank you! (7x + 14) (15x - 4)

Mathematics

1 answer:

sergey [27]2 years ago

8 0

Answer:

(7x + 14)° = 84°

(15x - 4)° = 146°

Step-by-step explanation:

62° + (7x + 14)° = (15x - 4)°

62° +7x + 14 = 15x - 4

15x - 7x = 62 + 14 + 4

8x = 80

x = 10

Therefore, exterior angle (15x - 4)° = 146°

interior angle (7x + 14)° = 84°

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Find angle B. What is angle B.

julsineya [31]

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that $\frac{sin(a)}{A} =\frac{sin(b)}{B}$ . That means that $\frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}$ . Multiplying 8 to both sides gives us $\frac{8sin(60)}{4\sqrt{6} }=sin(b)$ . By using inverse of sin, we get $b = sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } )$ . Plugging that into a calculator gives us b=45 degrees.