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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

Sagot :

Davidmaharjan62idn

Answer:

hence <A =41°

Step-by-step explanation:

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

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