One of the corners, which were formed at the intersection of 2 straight lines, is 3 times smaller than the other. Find these angles.

We know from the condition that when two straight lines intersect, angles are formed, one of which is 3 times larger than the other.

When two straight lines intersect, two pairs of vertical angles are formed and we know that they are equal to each other.

The angles in question are adjacent. To find them, we will compose and solve linear equations. For this we apply the theorem on the sum of adjacent angles – the sum of adjacent angles is 180 °.

We denote one angle for x, then the second 3x and we get the equation:

x + 3x = 180;

4x = 180;

x = 45 ° smaller angle and 45 * 3 = 135 ° larger angle.