Find the measure of the three angles in triangle LMN based on the information given below, and then answer the next two questions (Hint: apply thereom 10-A)
m∠L=7x+2
m∠M=3x-7
m∠N=5x-10
1)What is (a) the value of "x",
(b) the measure of angle L
(c) the measure of angle M
(d) the measure of angle N
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The sum of the internal angles of a triangle is 180
m∠L + m∠M + m∠N = 180º
7x+2 + 3x-7 + 5x-10 = 180º
(7+3+5)x = 180º- (2-7-10)
15 x = 180º - (-15)
15 x = 180º + 15
x= 195/15
x= 13
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Answer
x= 13
m∠L= 7x + 2 = 7*(13) + 2 = 93º
m∠M= 3x - 7 = 3*(13) - 7 =32º
m∠N= 5x - 10 = 5(13)- 10= 55º
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Organizing the angles from largest to smallest
m∠L > m∠N > m∠M
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