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:
Value of x is used to consider unknown value.
Step-by-step explanation:
Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable.
Answer:
girls plays football = 16 boys plays football = 28 girls does not = 32 boys does not = 14 total number of boys = 42
Answer:
not enough information given
Step-by-step explanation:
as the rules say, we need at least 3 pieces of information :
2 angles and a side, or 3 angles (or there are other options like 2 sides and one angle or 3 sides).
but here we get 1 side and 1 angle. the shared point does not give us anything in that regard.
so, not enough information.
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