Answer:
60.6°
Explanation:
The total measurement of m∠NRQ = 86° (given).
Set the equation:
m∠NRP + m∠PRQ = m∠NRQ
(8x + 7) + (4x - 1) = 86
First, combine like terms, or terms with the same amount of the same variables:
(8x + 4x) + (7 - 1) = 86
12x + 6 = 86
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtractions.
First, subtract 6 from both sides of the equation:
12x + 6 (-6) = 86 (-6)
12x = 86 - 6
12x = 80
Next, divide 12 from both sides of the equation:
(12x)/12 = (80)/12
x = 80/12
x = ~6.7 (rounded to the nearest tenth).
Next, plug in x in the expression of m∠NRP
m∠NRP = 8x + 7
m∠NRP = 8(6.7) + 7
Multiply, then add:
m∠NRP = (8 * 6.7) + 7
m∠NRP = 53.6 + 7
m∠NRP = 60.6
60.6° is your answer.
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