106k views
3 votes
Given the figure below ​

Given the figure below ​-example-1

1 Answer

6 votes

Answer:

x=9; z=117

Explanation:

step one) write it as an equation

7x + 31 = 94

(the opposing angles are equal due to two lines intersecting at a point)

7x = 94 -31

7x = 63

x = 9

step two) and since angles around a point add up to 360°, subtract 94° and (63°+31°) and divide the remainding amount by two

360 - 94 - (63+31) = 2z

234 = 2z

117 = z

User Juan Fuentes
by
9.1k points