Question
In this picture, m∠XOZ = 73° and m∠YOZ = 40°. If m∠XOY = (5x + 16)°, what is the value of x?
A.
33
B.
1.7
C.
19.4
D.
3.4
A.
33
B.
1.7
C.
19.4
D.
3.4
Answers
Answered by
GPT 3.5
To find the value of x, we can set up an equation using the fact that the sum of the angles in a triangle is 180°.
m∠XOY + m∠XOZ + m∠YOZ = 180°
(5x + 16) + 73 + 40 = 180
5x + 129 = 180
5x = 51
x = 51 / 5
x = 10.2
Therefore, the value of x is not listed as an option. The closest option is 10.2, but none of the given options match exactly.
m∠XOY + m∠XOZ + m∠YOZ = 180°
(5x + 16) + 73 + 40 = 180
5x + 129 = 180
5x = 51
x = 51 / 5
x = 10.2
Therefore, the value of x is not listed as an option. The closest option is 10.2, but none of the given options match exactly.
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