Verified answer

Answer:

Angle 1 =  105°

Angle 2 =  12°

Angle 3 = 63°

Step-by-step explanation:

We know -

1. Angles on a straight line = 180°

2. Exterior angle = Sum of Interior Opposite Angles

1.    

Let the unknown angle be 'x'

x + 117 = 180

x = 180-117

x = 63°

2.  

2y + 7 + 61 - y = 117

(2y - y) + (7 + 61) = 117

y + 68 = 117

y = 117 - 68

y = 49°

Angle 1 = 2y + 7 = 2 x 49 + 7 = 98 + 7 = 105°

Angle 2 = 61 - y = 61 - 49 = 12°

Angle 3 = x = 63°