Lorie correctly determines that for the triangles below, the statement Triangle N M O is similar to triangle T S R and the statement Triangle N M O is similar to triangle T R S both describe the relationship between the two triangles. Triangle M N O. Angle M is 54.4 degrees and angle N is 71.2 degrees. Triangle R S T. Angle R is 54.4 degrees and angle T is 71.2 degrees. Which best describes why both similarity statements are correct? Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S. Each triangle has two similar angles: Angle M is similar to angle O and Angle R is similar to angle S. 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.

[tex]\angle M = 54.4$ degrees, \angle N = 71.2$ degrees\\\angle M+\angle N+\angle O=180^\circ\\54.4^\circ+71.2^\circ+\angle O=180^\circ\\\angle O=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]

In Triangle RST

[tex]\angle R = 54.4$ degrees, \angle T = 71.2$ degrees\\\angle R+\angle T+\angle S=180^\circ\\54.4^\circ+71.2^\circ+\angle S=180^\circ\\\angle S=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]

Therefore:

Triangle NMO is congruent to triangle TSR; and

Triangle NMO is congruent to triangle TRS

This is because

[tex]\angle M \cong \angle O =54.4^\circ; and\\ \angle R \cong \angle S =54.4^\circ .[/tex]

The correct option is A.

BrainlyPlusYay BrainlyPlusYay · Answer 2 · 2022-06-24T05:30:28+02:00

BrainlyPlusYay BrainlyPlusYay

24-06-2022

Answer:

A

Step-by-step explanation:

Just did the test.

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