Answer:
x = 10, m∠TRS = 60°
Explanation:
It is given that the total measurement of m∠QRS = 122°. Set the equation. Note:
∠QRS = ∠QRT + ∠TRS
Plug in the corresponding terms with the corresponding angles:
122 = 7x - 8 + 6x
First, simplify by combining like terms:
122 = (7x + 6x) - 8
122 = 13x - 8
Next, 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, add 8 to both sides of the equation:
122 = 13x - 8
122 (+8) = 13x - 8 (+8)
122 + 8 = 13x
130 = 13x
Next, divide 13 from both sides of the equation:
(130)/13 = (13x)/13
130/13 = x
x = 10
Next, plug in 10 for x for the measurement of m∠TRS
m∠TRS = 6x
m∠TRS = 6 (* 10)
m∠TRS = 60°
Answer: x = 10, m∠TRS = 60°