Mathematics
In the adjoining figure, ∠BEC = 125° and ∠ACD = 25°; then the angle BAC is :
100°
110°
90°
65°
Circles
2 Likes
Answer
From figure,
⇒ ∠BEC + ∠DEC = 180° (Linear pairs)
⇒ 125° + ∠DEC = 180°
⇒ ∠DEC = 180° - 125° = 55°.
In △DEC,
⇒ ∠DEC + ∠ECD + ∠CDE = 180°
⇒ 55° + 25° + ∠CDE = 180°
⇒ ∠CDE = 180° - 55° - 25° = 100°.
From figure,
∠BDC = ∠CDE = 100°
We know that,
Angles subtended by same segment of the circle are equal.
∴ ∠BAC = ∠BDC = 100°.
Hence, Option 1 is the correct option.
Answered By
1 Like
Related Questions
If a matrix A is of order 3 × 2 and matrix B is of order 2 × 3, then the order of matrix AB is :
3 × 2
3 × 3
2 × 3
2 × 2
Line segment AB joining the points A = (0, -10) and B = (20, 5) is divided internally into five equal parts by points P, Q, R and S. The co-ordinates of points Q are :
(8, -4)
(4, -8)
(-8, -4)
(-4, -8)
If the nth term of an A.P. is 3n + 2, then the sum of its first three terms is :
9n - 6
30
48
24
The median of the data :
45, 60, 52, 115, 69, 26, 70, 81 and 94 is :
5th term
69
68