In the diagram shown at left, three lines intersect to form a triangle. What is the value of x ?
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Answer:
The value of x is 39°
Step-by-step explanation:
To obtain the value of x°, we need to determine the sizes of the remaining angles in the triangle.
In the attached photo,
Angle y = 68° (opposite angles are equal)
z° + 107° = 180° (sum of angles on a straight line)
Collect like terms
z° = 180° – 107°
z° = 73°
Now, we can obtain the value value of x as follow:
x° + y° + z° = 180° (sum of angles in a triangle)
x° =?
y° = 68°
z° = 73°
x° + 68° + 73° = 180°
Collect like terms
x° = 180° – 68° – 73°
x° = 39°
Therefore, the value of x is 39°.