Question

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is 47 degrees. The exterior angle created by the right side of the triangle and the top horizontal line is x degrees. The bottom left angle of the triangle is y degrees. The exterior angle of the bottom right angle is z degrees above the horizontal line and 63 degrees below.
Which statements about the diagram are true? Select three options.

x = 63
y = 47
z = 117
x + y = 180
x + z = 180

Answer 1

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Answer:

  A, C, E

Step-by-step explanation:

Angle x and the angle marked 63° are corresponding, hence congruent:

  x = 63°

Angles x and z are consecutive interior angles, so are supplementary:

  x + z = 180°

Then ...

  z = 180° -x = 180° -63°

  z = 117°