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cos(42)=0.743. Multiply this by -2 times 5 times 7, or negative 70. This shouls result in -52.02. Add this to five squared and seven squared to get 21.98. The square root of this is about 4.69 when rounded to the nearest hundreth. Therefore, side c is 4.69 units.

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a=4.29

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Law of Sines

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a= 6.34

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7.14

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Use the formula:
a^2 = b^2 + c^2 - 2bc x cos A

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To find angle A, muliply 10 by sin(15). The formula of a/sin A = c/sin C can be rewritten as sin C times a = sin A times c. 10 times sin(15) is about 2.5882. Divide this by 7.14 to find that sin A = 0.36226. The number that gives you that value for sine is about 21.24. Therefore, 21.24 is the angle measurement for angle A.

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B= 67 degrees

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Use the formula:
b/sinB = a/sinA

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Here is the missing angel I added 21.24 and 15 and subtracted this by 180 and got 143.76

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Here is the missing angel I added 21.24 and 15 and subtracted this by 180 and got 143.76

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Angle C= 54 degrees

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All of the angles in the triangle equal 180° (A+B+C= 180°

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A=46 Degrees

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B=92 Degrees

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here is the final Triangle