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miv72 [106K]
3 years ago
7

Two angles are supplementary. The measure of one angle is 1/3 the measure of the other. Find both angles

Mathematics
1 answer:
Archy [21]3 years ago
8 0
X + (1/3) x = 180
1.3333333x = 180

x = 135 degrees
1/3 x = 135/3 = 45 degrees

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Gnesinka [82]

Answer:

A=46 degrees, B=33.4 degrees, C=100.6 degrees

a=34, b=27, c=48.2

Step-by-step explanation:

(a/sin(A)) = (b/sin(B)) = (c/sin(C))

we are given

(34/sin(46)) = (27/sin(B))

34sin(B) = 26sin(46)

34sin(B) = 18.702834809

sin(B) = 0.550083377

note use inverse sin function to find angle B

B = 33.372733167 approx 33.4 degrees then

C = 180 - (46 + 33.4) = 100.6

Then, (b/sin(B)) = (c/sin(C))

27/0.550083377 = c/0.982935349

0.550083377 * c = 27 * 0.982935349

0.550083377 * c = 26.539254427

c = 48.245876056 approx 48.2 .

Lastly, you get: A=46 degrees, B=33.4 degrees, C=100.6 degrees

a=34, b=27, c=48.2

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All the answers are here

Download pdf
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