When two straight lines intersect, unequal angles are related as 7: 3. Find the angle between the lines.

From the condition it is known that when two straight lines intersect, unequal angles are related as 7: 3. In order to find coal, we will compose and solve an equation.

So, if the angles are not equal, then they are adjacent. And we know that the sum of adjacent angles is 180 °.

Enter the coefficient of similarity x and write down the degree measure of the angles as 7x and 3x.

We get the following equation:

7x + 3x = 180;

10x = 180;

x = 180: 10;

x = 18.

We have found the coefficient of similarity and now we can find the degree measure of the angles:

7 * 18 = 126 ° and 3 * 18 = 54 °.