The adjacent angles are proportional to the numbers 5 and 7. Find the difference between these angles.
| March 15, 2021 | education
To solve this example, let’s introduce the conditional variable “Y”, through which we denote one conditional part.
Then, knowing that the sum of adjacent angles is 180 °, we will compose the following expression: 5Y + 7Y = 180.
Solving the equation, we get 12Y = 180 or Y = 180/12 = 15 °.
Therefore, the difference between the angles will be 7 x 15 – 5 x 15 = (7 – 5) x 15 = 2 x 15 = 30 °.
Answer: 30 °.
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