Calculate Angle ABC in a Square with Diagonal: Advanced Geometry

ABCD is a square.

∢ABC=? ∢\text{ABC}=\text{?}

AAABBBDDDCCC

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Step-by-step video solution

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00:00 Calculate ABC?
00:03 In a square all angles are right angles
00:10 The diagonal in a square bisects the angle
00:15 The angle equals half of the whole angle
00:25 Let's substitute appropriate values and solve for the angle
00:30 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

ABCD is a square.

∢ABC=? ∢\text{ABC}=\text{?}

AAABBBDDDCCC

2

Step-by-step solution

Due to the fact that all angles in a square are equal to 90 degrees, and BC bisects an angle, we can calculate angle ABC accordingly:

90:2=45 90:2=45

3

Final Answer

45

Practice Quiz

Test your knowledge with interactive questions

Given:

\( ∢\text{ABC}=90 \)

\( ∢DBC=45 \)

Is BD a bisector?

AAABBBCCCDDD45

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