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3 years ago

Complete the statement. Explain your reasoning.If the measure of ∠2 = 48∘, then the measure of ∠3 = _______.

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:

132 degrees

Step-by-step explanation:

the angles of measure 2 and 3 have to add up to 180 degrees (because that's the angle of a straight line, which 2 and 3 make together)

180-48=132

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Find sin(a+B)

diamong [38]

Answer:

Cos A=5/13

we have

Cos² A= $1-Sin ²A$

25/169=1-Sin²A

sin²A=1-25/169

sin²A=144/169

Sin A= $\sqrt{144/169}=12/13$

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Tan B=4/3

P/b=4/3

p=4

b=3

h= $\sqrt{3²+4²}=5$

Now

Sin B=p/h=4/5

in IV quadrant sin angle is negative so

Sin B=-4/5

CosB=b/h=3/5

Now

Sin(A+B):sinAcosB+CosAsinB

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substitute value

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