It is given that (2x – 5)° and (x – 10)° are the complementary angles.
So we can write it as
(2x – 5)° + (x – 10)° = 90°
2x – 5° + x – 10° = 90°
On further calculation
3x – 15° = 90°
So we get
3x = 105°
By division
x = 105/3
x = 35°
Therefore, the value of x for which the angles (2x – 5)° and (x – 10)° are the complementary angles is 35°.
