In triangle ABC, A is 54 ° and C is 15 ° less. Find B in triangle ABC.

In triangle ABC, angle A is 54 degrees, and angle c is 15 degrees less.

Determine the angle B of the triangle ABC.

Since the angle С is 15 gadus less than the angle 54 degrees, then the angle в is found as follows:

54 – 15 = 50 – 10 + 4 – 5 = 40 – 1 = 39;

This means that the angle C is 39 degrees.

The sum of all the angles of the triangle is 180 degrees.

angle a + angle b + angle c = 180;

Let x be the angle B, then we form the equation and find the unknown value.

54 + 39 + x = 180;

93 + x = 180;

We leave the unknown values ​​on one side, and transfer the known values ​​to one side. Then we get:

x = 180 – 93;

x = 87;

From this it was obtained that the angle B is equal to 87 degrees.