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

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

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Step-by-step video solution

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00:00 Find angle ABC
00:05 Vertical angles are equal
00:15 The sum of angles in a triangle equals 180
00:21 Let's group terms and isolate ABC
00:48 And this is the solution to the question

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1

Understand the problem

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

2

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

3

Final Answer

30

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Indicates which angle is greater

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