In a right-angled triangle BDK, angle B is 60% of angle K. Find angle B if angle D is 90 °.

It is known that the sum of all the angles of any triangle is 180 °.

In this case, since we know that the angle D is 90 °, then the sum of the angles B will be equal to:

180 – 90 = 90 °.

We draw up an equation in which the value of the angle K is written as x.

Since the angle B is 60% of the angle K, then its value will be: 0.6 * x.

We get the equation of the sum.

0.6 * x + x = 90.

1.6 * x = 90.

x = 90 / 1.6 = 56.25 ° (angle K).

0.6 * x = 0.6 * 56.25 = 33.75 ° (angle B).

Answer:

Angle B is 33.75 °.