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charle [14.2K]
3 years ago
12

Extra points and top BRAINIEST!!Lorie correctly determines that for the triangles below, the statement and the statement both de

scribe the relationship between the two triangles.
Which best describes why both similarity statements are correct?
Each triangle has two congruent angle and .
Each triangle has two similar angles and
The triangles each have two given angle measures and one unknown angle measure.
All statements, regardless of the order of the vertices, define the same triangles.

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

The rest of the question is the attached figure

========================================

solution:

========

As show in the attached figure


∠M = ∠R = 54.4°


∠N = ∠T = 71.2°


∠O = 180° - (∠M + ∠N) = 180° - (54.4°+71.2°) = 54.4°


∠S = 180° - (∠R + ∠T) = 180° - (54.4°+71.2°) = 54.4°


∠O = ∠S = 36°


∴ Δ MNO is similar to Δ RTS


So, the correct statement:


The triangles each have two given angle measures and one unknown angle measure.



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