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Alex777 [14]
2 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]2 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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Answer:

Option (4)

Step-by-step explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements                               Reasons

1). XZ ≅ DF                                 1). Given

2). ∠X ≅ ∠ D                              2). Given

3). XY ≅ DE                                3). Required information

4). ΔXYZ ≅ ΔDEF                      4). By SAS property of congruence

Therefore, Option (4) will be the answer.

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Answer:

The amount of ounce used for paint is \frac{9}{15} ounce  

Step-by-step explanation:

used amount for water is \frac{2}{3} ounce.

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