Calculate the Missing Angle B in Triangle ABC: Given 105° and 45°

Question

According to the data in the diagram, calculate a size of angle ABC.AAABBBCCC10545?

Video Solution

Step-by-Step Solution

Note that from the diagram we are able to determine the value of angle BAC, since its corresponding angle is equal to 105.

Now in the triangle we are given two angles:

BAC=105 BAC=105

BCA=45 BCA=45

Since the sum of angles in a triangle is equal to 180, we can calculate angle ABC:

18010545=30 180-105-45=30

Answer

30