Answer with Step-by-step explanation:
Since we have given that
Angle 12 and angle 11 are complementary.
Mathematically, it is expressed as
[tex]\angle 12+\angle 11=90^\circ[/tex] ------------(1)
measure of angle 10 + measure of angle 11 = 90 degrees.
Mathematically, it is expressed as
[tex]\angle 10+\angle 11=90^\circ[/tex] ----------------(2)
From eq(1), and eq(2), we get that
[tex]\angle 12+\angle 11=\angle 10+\angle 11\\\\\angle 12=\angle 10[/tex]
Hence, angle 12 is congruent to angle 10.