Question

Please help me with this

Answer 1

Answer:

m<1 = 45°  

m<2 = 76°

m<3 = 80°

Step-by-step 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°