All help is appreciated! If sin²(32°) +cos² (M) = 1, then M equals?
1 answer:
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Answer:
x = 2
Step-by-step explanation:
See the given figure attached.
Given that RQ and ST are parallel and angle PRQ is equal to 120°.
Now. ∠ PRQ and ∠ QRS are supplementary.
Hence, ∠ QRS = 180° - 120° = 60°
Again, as RQ ║ ST so, ∠ QRS = ∠ UST {Corresponding angles}
So, ∠ UST = 60°.
Now, given that 15(x + 2) = ∠ UST = 60°
⇒ x + 2 = 4
⇒ x = 2 (Answer)
