Calculate Angle BAC in a Right Triangle with 147° External Angle

According to the data,

Calculate the size ∢BAC ∢\text{BAC}

90°90°90°AAABBBCCC147°

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find angle A
00:04 Supplementary angle to a straight angle (180)
00:18 The sum of angles in a triangle equals 180
00:25 Let's collect terms and isolate BAC
00:48 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

According to the data,

Calculate the size ∢BAC ∢\text{BAC}

90°90°90°AAABBBCCC147°

2

Step-by-step solution

Since we are given an angle of 147, let's calculate the angle ACB which complements it to 180 degrees:

180−147=33 180-147=33

Now we have two angles in triangle ABC, and we can calculate angle BAC:

180−90−33=57 180-90-33=57

3

Final Answer

57

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Indicates which angle is greater

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