Question

Find the sizes of the angles marked a and b.
Give reasons for your answers.​

Answer 1

Angle 1 is taken in linear pair with 125

Angle 1 +125° = 180°

Angle 1 = 55°

Angle sum property of triangle = 55 + 41 + a = 180°

Angle a = 84°

Angle 2 is linear pair to the Angle a

Angle 2 + Angle a = 180 °

Angle 2 = 96 °

Hence Angle a = 84°

Angle B = 96°

Answer 2

Step-by-step explanation:

41° + b° = 180 ° ( linear pair angel)

b°= 180°- 41°

b° = 139

b + 35 + x = 180 ° angel sum property

139 + 35 + x = 180 °

174 + x = 180°

x = 180 - 174

x = 6 °

a + x = 180 ° Linea pair angel

a + 6 = 180

a = 180 - 6 = 174 °