Clock dial angles

The triangle that connects on the dial:
a) 2,7,9
b) 3,6,10
Calculate the size of the interior angles.

Final Answer:

A =  75 °
B =  30 °
C =  75 °
X =  45 °
Y =  60 °
Z =  75 °

Step-by-step explanation:

φ=12360​=30 ∘ α=∣2−7∣⋅ φ=∣2−7∣⋅ 30=150 ∘ β=∣7−9∣⋅ φ=∣7−9∣⋅ 30=60 ∘ γ=360−α−β=360−150−60=150 ∘  A=α/2=150/2=75∘
B=β/2=60/2=30∘
C=γ/2=150/2=75∘
x=∣3−6∣⋅ φ=∣3−6∣⋅ 30=90 ∘ y=∣6−10∣⋅ φ=∣6−10∣⋅ 30=120 ∘ z=360−x−y=360−90−120=150 ∘  X=x/2=90/2=45∘
Y=y/2=120/2=60∘
Z=z/2=150/2=75∘

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You need to know the following knowledge to solve this word math problem:

geometryarithmeticplanimetricsUnits of physical quantitiesGrade of the word problem

 
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