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If mABC =(3x+3) and mDEF=(5x-33).Find the value of x

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Let's begin by listing out the information given to us:

m∠ABC = 3x + 3

m∠DEF = 5x - 33

From the question, m∠ABC & m∠DEF are identical (have same properties)

m∠ABC = m∠DEF

3x + 3 = 5x - 33

Put like terms together (add 33 - 3x to both sides)

3x - 3x + 3 + 33 = 5x - 3x - 33 + 33

36 = 2x; 2x = 36

x = 18

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