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In triangle ABC, m∠A=(x+6)∘, m∠B=(2x+5)∘, and m∠C=(2x−6)∘. What is the measure of angle A? 35 degrees 41 degrees 75 degrees 64 degrees
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In triangle ABC, m∠A=(x+6)∘, m∠B=(2x+5)∘, and m∠C=(2x−6)∘.

What is the measure of angle A?

35 degrees

41 degrees

75 degrees

64 degrees

User Vesko
by
3.4k points

2 Answers

3 votes

Answer:

41

Explanation:

User CHANTI
by
3.5k points
2 votes

Answer:

hence <A =41°

Explanation:


x + 6 + 2x + 5 + 2x - 6 = 180 \\ (sum \: of \: inside \: the \: triangle \: is \: 180) \\ 5x + 5 = 180 \\ 5x = 180 - 5 \\ x = (175)/(5 ) \\ x = 35 \\ now \: putting \: the \: value \: of \: x \: in \: ange \: a \\ < a = x + 6 \\ < a = 35 + 6 \\ < a = 41

User Angelo Immediata
by
3.5k points
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