Question

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

Answer 1

41

Explanation:

Answer 2

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`