please answer this question it's urgent
Answers
Answer:
a + 55° + 60° = 180° (sum of all sides of ∆ = 180°)
a + 115° = 180°
a = 180° - 115°
a = 65°
a + b = 90° (linear pair)
65° + b = 90°
b = 90° - 65°
b = 25°
60°+ 40°+(55°+c)=180° (sum of all sides of ∆=180°)
100°+ 55° + c = 180°
155° + c = 180°
c = 180° - 155°
c = 25°
Therefore, a = 65° , b = 25° , c = 25°
sum of interior angles of a triangle = 180°
In ∆ PQS ,
55° + 60° + a = 180°
115° + a = 180°
a = 180° - 115°
a = 65°
a + b = 180° ( linear pair )
65° + b = 180°
b = 180° - 65°
b = 115°
In ∆ PSR ,
40° + b+ c = 180°
40° + 115° + c = 180°
155° + c = 180°
c = 180° - 155°
c = 25°
Hence,
a = 65°
b = 115°
c = 25°
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