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A right angle consists of two adjacent complementary angles, which means that the sum of the two angles is 90 degrees.
Let's denote the measure of the other angle as x. Since one angle measure is 35 degrees, the sum of the two angles is x + 35 degrees.
According to the property of complementary angles, the sum of two complementary angles is 90 degrees. Therefore, we can set up the following equation:
x + 35 = 90
To find the value of x, we can solve this equation:
x = 90 - 35
x = 55
Therefore, the measure of the other angle is 55 degrees.