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m∠1 = (4x + 9)° and m∠2 = (x − 14)° in the given figure. Find x.

An image of two parallel lines and two transversals.

Question 13 options:

7


19


8


37

Respuesta :

MrRoyal

Answer:

[tex]x = 19[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 4x + 9[/tex]

[tex]\angle 2 = x - 14[/tex]

See attachment

Required

Find x

From the attached image, we have:

[tex]\angle 1 +\angle 2 = 90[/tex]

Because the sum of both angle corresponds to the right angle between n and m

So, we have:

[tex]4x + 9 + x - 14 = 90[/tex]

Collect like terms

[tex]4x + x = 90 - 9 +14[/tex]

[tex]5x = 95[/tex]

Divide by 5

[tex]x = 95/5[/tex]

[tex]x = 19[/tex]

Ver imagen MrRoyal

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