Extra points and top correctly determines that for the triangles below, the statement and the statement both describe 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.

The rest of the question is the attached figure

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solution:

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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.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

step-by-step explanation:

the true ones are a b and d