Question

find the measure of an angle which is 26 degree more than its complement

Answer 1

complementary angles add up to 90.

26+x=y

x+y=90

plug y=26+x into the above equation

x+26+x=90

2x=64

x=32

The angles are 32 and 58.

Answer 2

let the angle be x and the complement be y.
=)x+y=90____(1)

=)x=26+y
=)x-y=26_____(2)

Adding eq.(1) and eq(2),we get
=)2x=116
=)x=116/2
=)x= 58

Hence, the angle is 58. HOPE IT HELPS