please solve my equation
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In Fig. (v), 125° = a + c ….(i)
And 140° = a + b …..(ii)
Adding, we get
a + c + a + b = 125° + 140°
⇒ a + a + b + c = 265°
But a + b + c = 180°
(Sum of angles of triangles)
∴ a + 180° = 265°
⇒ a = 265° - 180° = 85°
But a + b = 140°
⇒ 85° + b = 140°
⇒ b = 140° - 85° = 55°
And a + c = 125° ⇒ 85° + c = 125°
⇒ c = 125° - 85° = 40°
Hence, a = 85°, b = 55° = 40°
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Step-by-step explanation:
a+b=140 (Exterior angle is equal to the sum of two opposite interior angles)
a+c=125 (Exterior angle is equal to the sum of two opposite interior angles)
a+b+c=180(Angle Sum Property)
140+c=180
c=40 degree
a+40=125
a=85degree
85+b=140
a=55 degree
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