In triangle abc, angle a is 90 and angle B is 40 less than angle C. Find angles B and C.

In a triangle abc, the angle A is 90 °.

Find angle B if it is 40 ° less than angle C. Find also angle C.

The sum of all the angles of a triangle is 180 °. If one angle is already 90 °, then the other 2 angles still have 90 °.

Since the angle A is equal to 90 °, then the angle B cannot be less than the angle C by 40 °. Since the angle is rectangular, then the other angles will be 60 ° and 30 °.

If the angle is B = 60 °, then the angle is C = 30 °.

If the angle is C = 60 °, then the angle is B = 30 °.