Week Three Proof Probler X IP Study Plan Practice MICH X C Algebra question Cheg

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Week Three Proof Probler X IP Study Plan Practice MICH X C Algebra question Chegg X New Tab C https:// Practice.aspx?chapterld 10&sld; 8&objectiveld; 2&single; true&closeurl; https%3A//www.mathxl.com/Student/studyPlanRSWR E www.mathxl.com/Student/Player MICHELLE COLLINS & 7/30/16 7:34 PM MTH/210 07-12-16-section BSAC1KRQ04 9.8 Law of Sines Close objective: Solve applications. 2 correct 3 of 3 (3 complete X 9.8.7 E Question Help If mZDEG mZD mZG 41°, hat is mZEFG? 5.6 in. mLEFG 37.2 (Do not round until the final answer. Then round to the nearest tenth as needed. Do not include the degree symbol in your answer Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer A 1034 PM 4) 5 7/30/2016 m Cortana. Ask me anything

Explanation / Answer

Here' the equation for sum of all angles in a triangle:

A(DEG)+ A(D)+A(G) = 180
A(DEG) = D + G + 41
A(DEG) +A(DEG)-41 = 180
2*A(DEG) = 221
A(DEG) = 221/2 = 110.5
A(DEG) = 110.5

Since the 2 sides have same length =6, the angle opposite them are also equal and hence, isoceles triangle.

A(D) = A(G), so ,
110.5 +D+G=180
D+G = 79.5
G=D = 79.5/2 = 39.75

Applying the sin rule A/SIN(a) = B/Sin(B), we need to find B.

Therefore, 5.6/sin(39.75) = 6/sin(AEF)
Sin(AEF) = .684
Angle(AEF) = 43.2 degrees

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