Question

Find the m∠cde, if m∠bac = 50° and ∠bca is a right angle.

1) 50°
2) 90°
3) 40°
4) 180°

Answer 1

To find the measure of angle CDE, we use the fact that the sum of angles in a triangle is 180°. By subtracting the given angles from 180°, we find that angle CDE is 40°.

Step-by-step explanation:

To find the value of angle CDE, we need to use the properties of angles in a triangle. Given that angle BAC is 50° and angle BCA is a right angle, we can use the fact that the sum of angles in a triangle is 180°.

Angle BAC + angle BCA + angle CDE = 180°

50° + 90° + angle CDE = 180°

Simplifying the equation, we have angle CDE = 180° - 50° - 90° = 40°.

Therefore, the measure of angle CDE is 40°.