Question

If ABC and DEF are similar triangles such that ∠A = 57° and ∠E = 73°, what is the measure of ∠C?

Answer 1

GIVEN: There are two similar triangles ΔABC and ΔDEF.

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TO FIND: measure of

SAS Similarity Criterion: If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then two triangles are similar.

In ΔABC and ΔDEF if

Then,

So,

Similarly

Now we know that sum of all angles of a triangle is equal to 180°,