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