A ray is drawn inside the right angle so that 2 angles are obtained. 1 angle is 10 degrees larger than the other.

1) Because the right angle is 90 °, then if you designate a smaller angle for y °, a larger one will turn out with a degree measure (y + 10) °. We get the following equation:
y + (y + 10) = 90,
2y = 90 – 10,
2y = 80,
y = 80/2,
y = 40.
2) The second angle, which is 10 ° greater, will be:
40 + 10 = 50 (°)
or
90 – 40 = 50 (°).
Answer: the resulting angles have degree measures of 40 ° and 50 °.