Angle Bisector Problem: Calculate ABC Using 65° Triangle

BD is a bisector.

What is the size of angle ABC?

656565AAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate angle ABC
00:03 Angle bisector according to the given data
00:10 Angle size according to the given data
00:14 The entire angle equals the sum of its parts
00:25 Let's substitute appropriate values and solve to find angle ABC
00:34 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

BD is a bisector.

What is the size of angle ABC?

656565AAABBBCCCDDD

2

Step-by-step solution

Since we are given that the value of angle DBC is 65 degrees, and we know that the angle bisector divides angle ABC into two equal angles, we can calculate the value of angle ABC:

65+65=130 65+65=130

3

Final Answer

130

Practice Quiz

Test your knowledge with interactive questions

Given:

\( ∢\text{ABC}=90 \)

\( ∢DBC=45 \)

Is BD a bisector?

AAABBBCCCDDD45

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