# One of the angles formed at the intersection of two straight lines is four times smaller than

September 12, 2021 | education

| **One of the angles formed at the intersection of two straight lines is four times smaller than the other. What is the degree measure of the larger of them?**

The solution of the problem:

Adjacent corners are formed when two straight lines intersect. The sum of two adjacent angles is 180 degrees.

1. One of the adjacent angles is x degrees.

2. Find what the other angle is equal to.

x * 3 = 3x degrees.

3. Let’s compose and solve the equation.

x + 3x = 180;

4x = 180;

x = 180/4;

x = 45;

4. One adjacent angle is x = 45 degrees.

5. The second adjacent angle is x * 3 = 45 * 3 = 135 degrees.

Answer: One adjacent angle is forty-five degrees, the other adjacent angle is one hundred thirty-five degrees.

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