Angle ABC = 123 °. The difference between the angles ABD and CBD = 17 °. Find the angle ABD and CBD.

From the condition, we know the degree measure of the angle of 123 °. It is also known that the angle is divided into two angles, the difference of the degree gray of which is equal to 17 °.

In order to find the degree measure of two angles into which a given angle is divided, we will compose and solve a linear equation.

We denote by the variable x the degree measure of one of the angles, then the degree measure of the second angle can be written as (x – 17).

Knowing the initial angle, we get the equation:

x + (x – 17) = 123;

x + x – 17 = 123;

2x = 123 + 17;

2x = 140;

x = 140: 2;

x = 70 ° one of the corners, 70 – 17 = 53 °.