Use the diagram shown. Solve for x. Find the angle measures to check your work.
1 answer:
Answer:
x = 5
Step-by-step explanation:
From the picture attached,
It's given that ∠AOB ≅ ∠COD
therefore, m∠AOB = m∠COD
Now from the given measures of the equal angles,
9x - 5 = 6x + 10
9x - 6x - 5 = 10
3x - 5 = 10
3x = 10 + 5
3x = 15
x =
x = 5
Therefore, measure of the angles given in the picture will be,
m∠AOB = (9x - 5)° = 40°
m∠BOC = (2x + 11)° = 21°
m∠COD = (6x + 10)° = 40°
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