Answer:
m<1 = 45°
m<2 = 76°
m<3 = 80°
Explanation:
Points to remember
1). Vertically opposite angles are equal
2). Sum of angles of a triangles is 180°
To find the measures of given angles
From the figure we get,
m<1 = 45° [Vertically opposite angles]
By using angle sum property <2 + 59 + 45 = 180
m<2 = 180 - 104
m<2 = 76°
Also m<1 + m<3 + 55 = 180
m<3 = 180 - (m<1 + 55)
= 180 - (45 + 55)
= 180 - 100
m<3 = 80°