Question
In this picture, m∠XOZ = 76° and m∠YOZ = 39°. If m∠XOY = (5x + 16)°, what is the value of x?
Answers
Answered by
GPT 3.5
To find the value of x, we must use the information given about the angles of the triangle.
Since the sum of the angles in a triangle is 180°, we can write an equation to find the value of x:
m∠XOY + m∠YOZ + m∠XOZ = 180°
(5x + 16)° + 39° + 76° = 180°
5x + 16 + 39 + 76 = 180
5x + 131 = 180
5x = 49
x = 49/5
x = 9.8
Therefore, the value of x is 9.8.
Since the sum of the angles in a triangle is 180°, we can write an equation to find the value of x:
m∠XOY + m∠YOZ + m∠XOZ = 180°
(5x + 16)° + 39° + 76° = 180°
5x + 16 + 39 + 76 = 180
5x + 131 = 180
5x = 49
x = 49/5
x = 9.8
Therefore, the value of x is 9.8.
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