(3y)^2-2*3y*2+2= 9y^2-12y+4
Answer:
Step-by-step explanation:
In the given circle,
is diameter and
is tangent at point E.
is a semicircular arc.
Since, measure of semicircular arc is 180°
.... (2)
From equations (1) & (2)
By inscribed angle theorem:
By tangent secant theorem:

Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Answer:
∠WYX= 49°
∠XYZ= 51°
Both are acute angles as are between 0° and 90°
<u>Adjacent angles, they share common side</u>