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Identify the type of angle d.

May 10, 2026Mathematics

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Answer

\text{101}^\circ

2 steps

Identify the type of angle $d$ .
The diagram shows a triangle with two interior angles given as $36^\circ$ and $65^\circ$ . Angle $d$ is an exterior angle of this triangle. An exterior angle is formed by extending one side of a polygon and the adjacent side.
Apply the Exterior Angle Theorem.
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote (non-adjacent) interior angles.
In this case, angle $d$ is the exterior angle, and the two remote interior angles are $36^\circ$ and $65^\circ$ .
$d = 36^\circ + 65^\circ$ $d = 101^\circ$
The size of angle $d$ is $\boxed{\text{101}^\circ}$ .