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35 votes
35 votes
Finding Angles (Level 1)
Delta Math
#highschool

Finding Angles (Level 1) Delta Math #highschool-example-1
User Linuscl
by
2.9k points

2 Answers

19 votes
19 votes

Answer:

43

Explanation:

so, it gives your angle FHC and angle B. remember B because it is important a little later, so you know that angle FHC=119. and if you remember learning congruent angles, you would know that angle HGA also equals 119 because they are corrisponding angles. so, you know they are corrisponding, how does that help you? well, if you remember learning that vertical angles are congruent, then it tells you that FHC=HGA, also meaning that HGA=119. and remember how you know that angle B=18? this also helps because you know that a triangles angles always equal 180, so you simply add 119+18=137 degrees, and you want the unknown angle being m<E and which to find you simply subtract 180-137=43 so, M<E=43 because subtracting 180-137 gives you the unknown.

User Antzi
by
2.7k points
21 votes
21 votes

Answer:

∠ E = 43°

Explanation:

∠ BGE and ∠ FHC are alternate exterior angles and are congruent , then

∠ BGE = 119°

the sum of the 3 angles in Δ BGE = 180°, that is

∠ E + 18° + 119° = 180°

∠ E + 137° = 180° ( subtract 137° from both sides )

∠ E = 43°

User Jose Paredes
by
2.6k points