We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:
then, solving for b, we get:
now that we have that b = 41, we can find the measure of each angle:
Answer:
1. & 3.
Step-by-step explanation:
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If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC
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Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees
The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
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So in short, the answer is choice B) 27; 49
