In the diagram below, if < A = 97 °, < B = 46 °, < D = 97 ° and < F = 37 °, we can say that

Mathematics

1 answer:

sdas [7]2 years ago

8 0

Answer:

(a) The two triangles are similar by AA

Step-by-step explanation:

Similar triangles have congruent corresponding angles and proportional corresponding side lengths.

<h3>Third angle</h3>

The third angle in triangle ABC is found using the fact that the sum of angles is 180°.

∠C = 180° -∠A -∠B

∠C = 180° -97° -46° = 37°

Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...

∠A = ∠D = 97°

∠C = ∠F = 37°

The two triangles are similar by AA.

<em>Additional comment</em>

The similarity statement can be ΔABC ~ ΔDEF.

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