The quadrilateral is cyclic, because the angle that the tangent and the radius meet forms a right angle. Since the two opposite angles are 90° each, they form a 180° summation. Thus, the four points are cyclic.
Now, the smaller ∠O is 135, which means x is 180 - 135 because the four points are concyclic. Thus ∠O + x = 180°
Hence, x = 180 - 135 = 45°
∴ x = 45°
Answer:
first of all to answer the question i need the LxWxH then i can help u
Step-by-step explanation:
The sum of angles inside a triangle is the sum of angles 1, 2 and 3, which form a straight line, therefore 180 degrees.
The sum of the exterior angles
angle exterior angle
1 2+3
2 1+3
3 1+2
total 2+3+1+3+1+2=2(1+2+3)=2(180)=360 degrees.
The length of GH is 15.
<h3>How to calculate the length?</h3>
GH = IG
GH = 5x - 10
IG = 3x
5x - 10 = 3x
5x - 3x = 10
2x = 10
x = 10/2 = 5
GH = 5x - 10
= 5 * 5 - 10 = 25 - 10
GH = 15
<ABD = < DBC
<ABD = 10y°
<DBC = (8y + 4)°
10y° = (8y + 4)°
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 4/2 = 2
The value of y is 2
<DBE = <DBC + <CBE
<DBC = 10y°
<CBE = <DBC = 10y°
y = 2
<DBC = <CBE = 10y° = 10*2° = 20°
<DBE = 20° + 20° = 40°
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