Answer:
m∠DBC = 86°
Step-by-step explanation:
Find the variable, x. First, combine like terms. Like terms are terms with the same amount of the same variable:
3x + 4x + 67 + 50 = 180
(7x) + (117) = 180
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, subtract 117 from both sides of the equation:
7x + 117 (-117) = 180 (-117)
7x = 180 - 117
7x = 63
Next, divide 7 from both sides of the equation:
(7x)/7 = (63)/7
x = 63/7 = 9
x = 9
Next, plug in 9 for x in the angle DBC:
m∠DBC = 4x + 50
= 4(9) + 50
= 36 + 50
= 86°
m∠DBC = 86°
