Question

I need help on this. An answer and an explanation would be great!!

Answer 1

60 & 55

Explanation:

1. the sum of the angles 1; 2 and 3 is 180°, then

m∠1=m∠2=m∠3; ⇒m∠3=60°;

2. m∠3=m∠r; ⇒ m∠r=60°;

3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°

all the details are in the picture.