what is the value of x? x = □°
what is the value of x? x = □°
Answer
Explanation:
Step1: Recall angle - sum property of a circle
The sum of the central angles in a circle is 360°. So, ((x + 29^{\circ})+96^{\circ}+(x + 63^{\circ})=360^{\circ}).
Step2: Combine like - terms
Combine the (x) terms and the constant terms: (x+x+(29^{\circ}+96^{\circ}+63^{\circ}) = 360^{\circ}), which simplifies to (2x+188^{\circ}=360^{\circ}).
Step3: Isolate the variable (x)
Subtract (188^{\circ}) from both sides: (2x=360^{\circ}-188^{\circ}), so (2x = 172^{\circ}). Then divide both sides by 2: (x=\frac{172^{\circ}}{2}).
Answer:
(86)