In triangle CBD, angle CBD has a measure of $140°$. If triangle CBD is a right triangle and angle ABD is the other non-right angle, what is the measure of angle ABD?

• A. $90°$
• B. $50°$
• C. $40°$
• D. It is not possible for a right triangle to have an angle measuring $140°$

Answer: (D)

Verified step by step guidance

1. Recall that the sum of the interior angles in any triangle is always \$180^\circ$.
2. In a right triangle, one of the angles is exactly \$90^\circ$.
3. Given that angle \(CBD\) measures \$140^\circ\(, check if this is possible in a right triangle by adding it to the right angle: \)140^\circ + 90^\circ = 230^\circ$.
4. Since \$230^\circ\( already exceeds the total \)180^\circ\( allowed for a triangle, this means having a \)140^\circ$ angle in a right triangle is impossible.
5. Therefore, it is not possible for triangle \(CBD\) to be a right triangle if angle \(CBD\) measures \$140^\circ$.