Q:

this is very confusing help

Accepted Solution

A:
Answer:m∠Q = 43°Step-by-step explanation:Each of the three angles are given measurements. Note that the total interior angle measurements of a triangle = 180°.Set all the angles equal to 180°: 6x + 6 + 2x + 11 + 2x + 3 = 180Simplify. Combine like terms (terms with the same amount of variables): (6x + 2x + 2x) + (6 + 11 + 3) = 18010x + 20 = 180Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 20 from both sides: 10x + 20 (-20) = 180 (-20)10x = 180 - 2010x = 160To fully isolate x, divide 10 from both sides: (10x)/10 = (160)/10x = 160/10x = 16Your answer for x is 16. Plug in 16 for x in the given expression. Remember, you are solving for m∠Q: m∠Q = 2x + 11m∠Q = 2(16) + 11m∠Q = 32 + 11m∠Q = 43m∠Q = 43° is your answer.~