Guys please answer my question. Please Fast and correct answer.
Answers
Answer:
i) 65
ii) 50
iii) 34
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Answer:
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Step-by-step explanation:
Diagram I)
given :- A = 50°
B = X
C =?
exterior angle = 115° = E
solution:-
C + E = 180. .......linear pair
C + 115 = 180
c = 180 - 115
c = 65°
therefore,
A + B + C = 180° ........ angles of triangle
50 + X + 65 = 180°
X + 115 = 180°
X = 180 - 115
X = 65 °
X = 65° ✅
Diagram ii)
given :-
A = 30°
B = X
C = ?
exterior angel = 80° = E
solution :-
C + E = 180. .......linear pair
C + 80 = 180
C. = 180 - 80
C = 100
therefore,
A + B + C = 180° ............. angles of triangle
30 + X + 100 = 180
X + 130 = 180
X = 180 - 130
X = 50°
X = 50 ° ✅
Diagram iii)
given :-
A = 36°
B = X
C = ?
exterior angle = 70° = E
solution:-
C + E = 180°. ........linear pair
C + 70 = 180
C = 180 - 70
C = 110
therefore,
A + B + C = 180. .......... angles of triangle
36 + X + 110 = 180
X + 145 = 180
X = 180 - 145
X = 35°
X = 35°