Two lines intersect to form a linear pair with equal measures. One angle has the measure 5x and theother angle has the measure (9y - 45). Find the values of x and y.

Question

29-10-2022
Mathematics

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Two lines intersect to form a linear pair with equal measures. One angle has the measure 5x and theother angle has the measure (9y - 45). Find the values of x and y.

Respuesta :

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AdeinQ477509 AdeinQ477509 · Answer 1 · 2022-10-29T08:36:33+02:00

First of all, linear pair angles are those which sum 180° in total. However, the problem states that these angles have equal measures, so each of them must be equal to 90°

[tex]5x=90,9y-45=90[/tex]

Let's solve each equation.

[tex]5x=90\rightarrow x=\frac{90}{5}=18[/tex]

The second result would be

[tex]9y-45=90\rightarrow9y=90+45\rightarrow9y=135\rightarrow y=\frac{135}{9}=15[/tex]

Two lines intersect to form a linear pair with equal measures. One angle has the measure 5x and theother angle has the measure (9y - 45). Find the values of x and y.

Respuesta :

Therefore, x is equal to 18 and y is equal to 15.

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