Answered

IDNLearn.com: Your one-stop destination for finding reliable answers. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

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

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.