The beam divides a right angle into two sharp ones. Find the degree measure of the larger

The beam divides a right angle into two sharp ones. Find the degree measure of the larger angle if one of the corners is 2 times larger than the other.

Let us denote by the variable x the degree value of the smaller of the two formed angles.
Therefore, according to the condition of the problem, the degree value of the larger of the two formed angles, we can express in terms of 2x.
Knowing that these angles together form a right angle, the degree value of which, by definition, equals 90 °, we draw up an equation and determine the degree value of the larger of the resulting angles:

x + 2x = 90;

3x = 90;

x = 30;

90 – 30 = 60.

Answer: The degree value of the larger of the angles is 60 °.

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