Given a right-angled triangle ABC with right angles C, find angle A if angle B is greater than angle A by 20 degrees.

In this task, we will use the property of angles in a triangle, namely;

a + b + c = 180 °;

Where a, b, c are the angles of the triangle;

And since the triangle is rectangular with a right angle “C”, then;

c = 90 °;

It is also known that the angle “B” is 20 ° greater than the angle “A”, let’s write down this property;

b = a + 20;

Knowing the values of all the angles in the triangle, we substitute them into the formula and get the following equation;

a + (a + 20) + 90 = 180 °;

Let’s open the brackets and give a similar value;

2a + 110 = 180 °;

Let’s solve the equation;

2a = 70 °;

a = 35 °;

Find the value of the angle “B”;

h = 35 + 20 = 55 °.