Find the value of Y [Inscribed Angle]
2 answers:
Answer:
x = 60°
Step-by-step explanation:
From ΔOPQ,
∠OPQ = 120° [ angle at the center inscribed by arc PQ ]
PQ ≅ OQ
so opposite angles to PQ and OQ will be equal
∠OPQ ≅ ∠OQP
∠OPQ + ∠OQP + ∠POQ = 180°
∠OPQ + ∠OPQ + 120 = 180°
2∠OPQ = 180 - 120 = 60°
∠OPQ = 30°
Since radius OP is perpendicular to tangent.
so ∠OPQ + Y = 90°
y + 30° = 90°
y = 90 - 30 = 60°
Answer x = 60°
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Answer:
x = 0
Step-by-step explanation:
The distributive property of multiplication states that a(b - c) = a(b) - a(c). We can apply that to the given equation.
3(2 - x) = 6
3(2) - 3(x) = 6 (Apply distributive property on LHS)
6 - 3x = 6 (Simplify LHS)
6 - 6 - 3x = 6 - 6 (Subtract 6 from both sides)
-3x = 0 (Simplify both sides)
(Divide both sides by -3)
x = 0 (Simplify)
Hope this helps!