The right angle is divided into two by the straight line coming out of the top

The right angle is divided into two by the straight line coming out of the top, so that half of one is two elevens. Find the degree measures of these angles.

The right angle is divided so that half of one angle is 2/11 of the second angle. Let’s find these angles.

The straight line going out from the vertex of the right angle divides it into 2 more corners. The main thing is to remember that the sum of these angles is also 90 °.

Let’s introduce variables. Let x be one angle and y the second angle.

Based on the conditions of the problem, we will compose the equation:

1/2 * x = 2/11 * y;

x = 4/11 * y;

Expressed the value of one angle through the other, now we solve the second equation:

x + y = 90;

4/11 * y + y = 90;

15/11 * y = 90;

y = 90 * 11/15 = 66 °.

x = 90 – 66 = 24 °.