In triangle ABC, angle C is straight, angle BAC is 35 degrees. Find Angle B and Angle C

From the condition we know that in triangle ABC the angle C is straight, the angle BAC is 35 °.

We need to find the degree measure of the angle B and the angle C. We can write the degree measure of the angle C right away, since we know from the condition that it is equal to 90 °.

In order to find the degree measure of angle B, let’s recall the theorem on the sum of the angles of a triangle, and it says that the sum of the angles of a triangle is 180 °.

Let us denote by the variable x the degree measure of the angle B and solve the resulting equation:

90 + 35 + x = 180;

x = 180 – 90 – 35;

x = 55 ° angle B.

Answer: angle C = 90 °; angle B = 55 °.