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3. In triangle ABC, m<BAC = 4x + 10, m<ABC = 5x + 18, and m<BCA = 3x - 16.
(a) Find the value of x.
(b) Find the measure of <3.

3 In triangle ABC mltBAC 4x 10 mltABC 5x 18 and mltBCA 3x 16 a Find the value of x b Find the measure of lt3 class=

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choixongdong

(a) Find the value of x.

Sum of interior in a triangle = 180

So m<BAC  + m<ABC + m<BCA = 180

4x + 10 + 5x + 18 + 3x - 16 = 180

12x + 12 = 180

12x = 168

  x = 14


(b) Find the measure of <3.

<3 + <BCA = 180

<BCA = 3x - 16 = 3(14) - 16 = 26°

So

<3 = 180 - <BCA

<3 = 180 - 26

<3 = 154°

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