Question

In the figure, what is the value of z?

Answer 1

The answer for z=137°

Explanation:

y=43°

x=z

x+z+y+43=360(angles at a point)

Note:x=z

x+x+43+43=360

2x=86=360

2x=360-86

2x=274

divide both sides by 2

x=137°

Remember x=z

therefore

z=137°

Answer 2

Answer= angle z is 137 degrees

Explanation

The straight angle that includes 43 degrees and z will sum 180 degrees.
180 - given 43 degrees = 137 degrees.

Angle x is a vertical angle to angle z so it is congruent or the same as z, so angle x = 137 degrees.

Angle y is a vertical angle to angle z so it is congruent or the same as z, so angle y = 43 degrees.