Question

If (3x-15degree)and (x+5degree) are complementary angles, find the angle.

Answer 1

since both the angles are complementary, then the sum of both the angles will be equal to 180°,
hence

(3x-15°)+(x+5°)=90°,

4x-10°=90°,

4x=90°+10°,

4x=100°,

therefore

x=100°/4=25°,


then

first angle=3×25°-15°,

=75°-15°=60°,


second angel=25°+5°=30°