Based on the definition of complementary angles, the measures are:
m<q = 32°
m<r = 58°
Tow angels are complementary if both angles give a sum of 90 degrees.
The sum of angle q and angle r would give 90 degrees because they are complementary angles. Therefore, we would have the following:
m<r = ?
m<q = m<r - 26
Plug in the values
m<r - 26 + m<r = 90
2(m<r) - 26 = 90
2(m<r) = 90 + 26
2(m<r) = 116
2(m<r)/2 = 116/2
m<r = 58°
m<q = m<r - 26 = 58 - 26
m<q = 32°
Therefore, based on the definition of complementary angles, the measures are:
m<q = 32°
m<r = 58°
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