Answer
1: 50°
2: 130°
3: 50°
4: 130°
5:50°
Work Step by Step
The sum of the three interior angles of a triangle is 180 degrees.
Angle 1 + 40° +90° = 180°
Angle 1 =180°-90°-40°=50°
Angle 1 = 50°
Angle 1 and Angle 2 are Supplementary Angles:
Thus Angle 1 + Angle 2 = 180°
Angle 2 = 180° - Angle 1
=180°-50° = 130°
Angle 2 = 130°
Angle 3 = Angle 1 as they are vertical angles
Angle 3= Angle 1 = 50°
Angle 4 = Angle 2 as they are vertical angles
Angle 4 = Angle 2 = 130°
Angle 3 + 80° + Angle 5 = 180° as they are the interior angles of a triangle
Angle 5= 180°-80°- Angle 3= 100°-50°=50°
Angle 5 = 50°