Answer:
m<1 = 70 OR 290
m<2 = 35
Explanation:
m<2
m<3 + m<2 = 90°
55° + m<2 = 90°
90° - 55° = m<2
m<2 = 35°
m<1
I'm not sure if it is asking for the reflex angle outside of the blue triangle or the acute angle on the inside so I'll do both
acute angle
The Blue triangle is an isosceles triangle so the two sides on the same line on the left hand side are equal
55°+55°+m<1=180°
110°+m<1=180°
(m<1=70°)
reflex angle
using the above working for the acute angle:
360°-70°=m<1
m<1 = 290°
------------------------------------------------------------------------------------------
Hope this helps! :)
- Riona