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Parallel streets Main and Second are intersected by cross streets as shown. If m∠1=114° and m∠4=(9x)° and m∠7=(6x)° , what is the value of x?

Parallel streets Main and Second are intersected by cross streets as shown If m1114 and m49x and m76x what is the value of x class=

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mathstudent55

Answer:

x = 12

Step-by-step explanation:

Main Street and Second Street are parallel lines.

Angles 3 and 4 form a linear pair and are supplementary, so their measures add to 180 deg.

m<3 + m<4 = 180

Angles 3 and 7 are congruent since they are corresponding angles.

m<7 + m<4 = 180

6x + 9x = 180

15x = 180

x = 12

Answer:

12

Step-by-step explanation: