Mathematics
△ABC and △PQR are similar to each other. If ∠A = 45° and ∠R = 55°; then angle B is equal to :
55°
80°
100°
90°
Similarity
2 Likes
Answer
Since, △ABC and △PQR are similar to each other.
∠P = ∠A = 45°, ∠C = ∠R = 55° and ∠B = ∠Q = x(let).
In △ABC,
By angle sum property of triangle.
⇒ ∠A + ∠B + ∠C = 180°
⇒ 45° + x + 55° = 180°
⇒ x + 100° = 180°
⇒ x = 80°.
∴ B = 80°.
Hence, Option 2 is the correct option.
Answered By
3 Likes
Related Questions
The next two terms of the A.P., are :
9 and
If x ∈ W (whole numbers) and -4x > -2 - 3x, the solution set on the number line is :
The point P(m, n) is first reflected in x-axis to point P' and then point P' is reflected in y-axis to point P". Then the single transformation that reflects point P to P" is :
reflection in x-axis
reflection in y-axis
reflection in origin
invariant
A solid sphere and a solid hemisphere have the same total surface area. The ratio of their diameters is :
3 : 2
3 :