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Alex777 [14]
3 years ago
14

Which relationship is always true for the angles x, y, and z of triangle ABC? 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
Mathematics
1 answer:
nlexa [21]3 years ago
4 0

Answer:

y+z=x

Step-by-step explanation:

we know that

The <u>Exterior Angle Property of a Triangle</u> 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

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