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14 days ago

Triangles ABC, EDC, and EFG are similar triangles. The measures of the three interior angles of triangle EFG are °, °, and °.

Mathematics

2 answers:

tester [12.3K]14 days ago

7 0

The angles within triangle EFG measure 30°, 50°, and 100°.
Step-by-step explanation:
According to the provided information, we know this.
Proportional sides and equal angles pertain to similarities; thus, by corresponding elements.
Consequently,
For the same reasoning,
Subsequently,
by the theorem concerning internal angles.
Substituting the given values, we find
Therefore, the measure of the angles within triangle EFG is 30°, 50°, and 100°.

Zina [12.3K]14 days ago

4 0

According to the vertical angles theorem, angle BAC becomes 50°. Subsequently, angle B is calculated as 180 - (50 + 30) = 100°. Hence, for the similar triangles ABC, EDC, and EFG, the angles in triangle EFG are 30°, 50°, and 100°.

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The complete question reads:

Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements

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