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Parallel lines s and t are cut by a transversal, r, as shown.

Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank.

What is the value of x to the nearest whole number?

Respuesta :

calculista

Answer:

x=18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle 1

we know that

[tex]m\angle 1=94^o[/tex] ----> by corresponding angles

step 2

Find the value of x

we know that

[tex]m\angle 1+(5x-4)^o=180^o[/tex] ----> by linear pair (supplementary angles)

we have

[tex]m\angle 1=94^o[/tex]

substitute

[tex]94^o+(5x-4)^o=180^o[/tex]

solve for x

[tex]5x+90=180\\5x=90\\x=18[/tex]

Ver imagen calculista
teufelali

Answer:

20

Step-by-step explanation:

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