Analyzing Triangle Properties: Comparing 53° Angles and 10-13 Unit Sides

Look at the triangles in the diagram.

Which of the following statements is true?

535353535353101010131313131313101010AAABBBCCCDDDEEEFFF

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1

Understand the problem

Look at the triangles in the diagram.

Which of the following statements is true?

535353535353101010131313131313101010AAABBBCCCDDDEEEFFF

2

Step-by-step solution

According to the existing data:

EF=BA=10 EF=BA=10 (Side)

ED=AC=13 ED=AC=13 (Side)

The angles equal to 53 degrees are both opposite the greater side (which is equal to 13) in both triangles.

(Angle)

Since the sides and angles are equal among congruent triangles, it can be determined that angle DEF is equal to angle BAC

3

Final Answer

Angles BAC is equal to angle DEF.

Practice Quiz

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Look at the triangles in the diagram.

Which of the statements is true?

727272727272131313222131313222AAABBBCCCDDDEEEFFF

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