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horsena [70]
3 years ago
7

Find the measure of the angle.

Mathematics
1 answer:
laiz [17]3 years ago
7 0
<h3>165 degrees :) your welcome</h3>
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The 8 is in the hundred thousands.

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The prouder of two whole numbers is 945 and are some is 62. What are the two numbers
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4 years ago
Item 23 Solve the triangle with values a=23, b=24, and c=20. Round decimal answers to the nearest tent
Norma-Jean [14]

Answer:

Part 1) \angle\ C=50.3\°

Part 2) \angle\ B=67.4\°

Part 3) \angle\ A=62.3\°

Step-by-step explanation:

step 1

Find the measure of angle C

Applying the law of cosines

c^{2} =a^{2} +b^{2} -2(a)(b)cos(C)

substitute the given values and solve for cos(C)

20^{2} =23^{2} +24^{2} -2(23)(24)cos(C)

2(23)(24)cos(C)=23^{2} +24^{2} -20^{2}

1,104cos(C)=705

cos(C)=705/1,104

C=arccos(705/1,104)=50.3\°

step 2

Find the measure of angle B

Applying the law of cosines

b^{2} =c^{2} +a^{2} -2(c)(a)cos(B)

substitute the given values and solve for cos(B)

24^{2} =20^{2} +23^{2} -2(20)(23)cos(B)

2(20)(23)cos(B)=20^{2} +23^{2} -24^{2}

920cos(B)=353

cos(B)=353/920

B=arccos(353/920)=67.4\°

step 3

Find the measure of angle A

Remember that the sum of the internal angles of triangle must be equal to 180 degrees

\angle\ A+\angle\ B+\angle\ C=180\°

substitute the given values and solve for ∠A

\angle\ A+67.4\°+50.3\°=180\°

\angle\ A=180\°-117.7\°

\angle\ A=62.3\°

3 0
4 years ago
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