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Find the number of degrees in the acute angle formed by the intersection of walnut street and elm street

Find The Number Of Degrees In The Acute Angle Formed By The Intersection Of Walnut Street And Elm Street class=

Sagot :

Given two parallel lines and a transversal

So, the angles (2x + 33) and ( 5x - 15 ) are congruent because they are corresponding angles

So, 5x - 15 = 2x + 33

Solve to find x

[tex]5x-15=2x+33[/tex]

Combine like terms:

[tex]\begin{gathered} 5x-2x=33+15 \\ 3x=48 \\ x=\frac{48}{3}=16 \end{gathered}[/tex]

So, the required angle = 2x + 33 = 2 * 16 + 33 = 32 + 33 = 65

So, the angle is 65

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