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What is the angle marked from the following: find < ABD

June 9, 2026Mathematics

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Answer

\angle ABD = 45^\circ

3 steps

Identify the relationship between the angles.
From the diagram, $\angle ABC$ is a right angle, indicated by the square symbol, so $\angle ABC = 90^\circ$ . Angle $\angle ABC$ is composed of two adjacent angles, $\angle ABD$ and $\angle DBC$ .
Set up the equation.
The sum of the adjacent angles equals the larger angle:
$\angle ABC = \angle ABD + \angle DBC$
Substitute the given values: $\angle ABC = 90^\circ$ , $\angle ABD = x$ , and $\angle DBC = 45^\circ$ .
$90^\circ = x + 45^\circ$
Solve for $x$ .
Subtract $45^\circ$ from both sides of the equation:
$x = 90^\circ - 45^\circ$ $x = 45^\circ$
Therefore, $\angle ABD = 45^\circ$ .

The angle marked is $\angle ABD$ .

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