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Solve for x and then find the measure of Full solution
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Solve For X And Then Find The Measure Of Full Solution Thank You class=

Sagot :

TheBlueStaridn

∠A = ∠B

(Interior alternative angles)

[tex] \\ [/tex]

[tex] \dashrightarrow \tt6x + 5 = 4x + 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \underbrace{6x - 4x}+ 5 = 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt 2x+ 5 = 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt 2x = \underbrace{45 - 5}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt 2x = 40[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt x = \underbrace{40 \div 2}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt x = \dfrac{40}{2} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt x = \dfrac{20 \times 2}{2} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt x = \dfrac{20 \times \cancel2}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bold{ x = 20}[/tex]

[tex] \\ \\ [/tex]

Verification:

[tex] \\ [/tex]

[tex] \dashrightarrow \tt6x + 5 = 4x + 45[/tex]

[tex] \\ [/tex]

Put value of x

[tex] \\ [/tex]

[tex] \dashrightarrow \tt6(20) + 5 = 4(20) + 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \underbrace{6 \times 20} + 5 = 4(20) + 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt 120+ 5 = 4(20) + 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt\underbrace{ 120+ 5 }= 4(20) + 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt125= 4(20) + 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt125= \underbrace{4 \times 20} + 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt125= 80 + 45[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt125= \underbrace{80 + 45}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt125=125[/tex]

[tex] \\ [/tex]

[tex] \gray{ \bold{ \dag} \frak{LHS = RHS}}[/tex]

[tex] \orange{ \mathscr{Henc\: Verified}}[/tex]

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