If the angles (2 x -10)° and ( x -5)° are complementary angles, find x .

Question

If the angles (2 x -10)&#xB0; and ( x -5)&#xB0; are complementary angles, find x .

Philoid · Accepted Answer

Given that,

(2x – 10)^o and (x – 5)^o are compliment angles.

Let x be measured angle

Since, angles are complimentary

Therefore,

(2x – 10)^o + (x – 5)^o = 90⁰

3x – 15^o = 90^o

x = 35^o