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QUESTION IMAGE

find the value of x. 60° (3x)° 132° b c d g x =

Question

find the value of x.
60°
(3x)°
132°
b
c
d
g
x =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°.

Step2: Set up the equation

$60^{\circ}+132^{\circ}+3x^{\circ}=360^{\circ}$

Step3: Simplify the left - hand side

$192^{\circ}+3x^{\circ}=360^{\circ}$

Step4: Isolate the variable term

$3x^{\circ}=360^{\circ}-192^{\circ}$
$3x^{\circ}=168^{\circ}$

Step5: Solve for x

$x = \frac{168}{3}$
$x = 56$

Answer:

$56$