Find ∠CAD in a Right Triangle with 61° and 17° Angles

ΔABD is a right-angled triangle.

CAD=? ∢\text{CAD}=\text{?}

AAABBBDDDCCC6117

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00:00 Find angle CAD
00:05 The sum of angles in a triangle equals 180
00:18 Let's gather terms and isolate A
00:41 This is angle A
00:47 Part of the angle equals the total angle minus the second part
01:04 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

ΔABD is a right-angled triangle.

CAD=? ∢\text{CAD}=\text{?}

AAABBBDDDCCC6117

2

Step-by-step solution

If we look at triangle ABD, we can see that we are given two angles: 90° and 17°.

Since the sum of all angles in a triangle equals 180°, we can calculate angle BAD as follows:

1809017=73 180-90-17=73

Since we know angle BAC, we can calculate angle CAD as follows:

7361=12 73-61=12

3

Final Answer

12°

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Indicates which angle is greater

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