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Answers
11. The sum of all the angles of a triangle is 180°.
Therefore, A+B+C = 180 ............................................... (1)
GIVEN:-
- A-B = 15
=> A= 15+B (Taking B to the right side) ------------------------- (a)
- B-C = 30
=> B= 30+C (Taking C to the right side) ------------------------ (b)
Substituting (b) in (a)
A= 15+ (30+C)
A = 45+C ------------------------------- (c)
Substituting (c) and (b) in (1)
A+B+C =180
45 + C + 30 + C + C =180
75 + 3C =180
3C= 180-75
3C= 105
C= 105/3
C= 35°
A = 45 + 35 = 80°
B = 30 + 35 = 65°
Therefore, option a) 80°, 65°, 35° is correct.
12. We know that when two lines cross each other the vertically opposite angles are always equal.
∴b° + c°= e° + f °
statement (iii) is wrong.
Now, We can eliminate option C and D.
c° = f ° (vertically opposite angles) ---------------- (a)
a+f+e = 180° (angles in a straight line sum upto 180°)
substituting (a)
a + c + e = 180°
statement (ii) is true.
OPTION B is the correct answer...
Step-by-step explanation:
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