The equation that represents the relationship between the given angles is x+14=3x-16. And the values of X is equal to 15.
Classification angles
Some angles receive a special classification according, for example: the sum between them and their positions. See examples:
- Supplementary angles ( α and β): The angles receive this classification when their sum is equal to 180°.
- Complementary angles ( α and β): The angles receive this classification when their sum is equal to 90°.
- Alternate Angles ( Transversal): The angles present the same measure and opposite positions relative.
The given angles can be classified as alternate angle because are in opposite positions relative. Thus, they will have the same measure. Thus,
x+14=3x-16
3x-x=14+16
2x=30
x=15
If x=15, the angle x+14 will be 15+14=29°. And, the angle 3x-16 will be 45-16=29º.
Learn more about alternate angles here:
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