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What is the value of x? And what is the m

What is the value of x? And what is the m-example-1
User Klimaat
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1 Answer

5 votes

Step-by-step explanation

In the image the triangles are congruent, therefore


\begin{gathered} \angle DAC\cong\angle\text{CAB} \\ 5x=3x+12 \\ 5x-3x=12 \\ 2x=6 \\ x=(6)/(2) \\ x=3 \end{gathered}

Answer 1 : x =3

Also,


\begin{gathered} \angle DAB=\angle DAC+\angle\text{CAB} \\ \angle DAB=5x+3x+12 \\ \angle DAB=8x+12 \\ \angle DAB=8(3)+12 \\ \angle DAB=24+12 \\ \angle DAB=36^0 \end{gathered}

Answer 2: 36 degrees

User Cole Roberts
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4.2k points