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Which relationship is always true for the angles x, y, and z of triangle ABC? (4 points)

A triangle is shown with a leg extending past the top vertex. The vertices are labeled ABC. Angle y is located inside the triangle at vertex B. Angle z is located inside the triangle at vertex C. Angle x is located outside the triangle between side AC and the extended leg.
x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees

Sagot :

Answer:

y+z=x

Step-by-step explanation:

The Exterior Angle Property of a Triangle states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles

In this problem

Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC

therefore

Applying the Exterior Angle Property of a Triangle

y+z=x

Answer:

y + z = x

Step-by-step explanation:

exterior angle is the sum of other two interior angles.

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