The measure of ∠1 is 150°. What are the measures of ∠4, ∠3 and ∠2?

∠1 is 150°

∠2 is 30°

∠3 is 150°

∠4 is 30°

Step-by-step explanation:

∠1 is vertically opposite to ∠3 so they are equal

360° - (150° + 150°) = 360° - 300° = 60°

∠2 and ∠4 must sum to 60°

Step-by-step explanation:

From the question

∠1 is opposite to ∠ 3 and vertically opposite angles are equal

So

∠1 = ∠ 3

That's

∠ 3 and ∠ 4 are on a straight line and angles on a straight line add up to 180°

So to find ∠4, subtract ∠3 from 180°

That's

∠ 4 = 180 - ∠ 3

∠ 4 = 180 - 150

Since ∠ 4 and ∠ 2 are opposite they are also equal

That's

∠ 4 = ∠ 2

Therefore

Hope this helps you

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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step-by-step explanation:

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