Side AB of ∆ABC is produced to D. Find the value of x.
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Answer:
x = 60°
Step-by-step explanation:
As angle ABD is straight angle (180°)
7y+5y = 180°
12y = 180°
y = 15°
Now in ∆ABC
5y+3y+x = 180° (Angle sum property)
[Sum of all three angles of a ∆ is 180°]
8y+x = 180°
8×15°+x = 180°
120° + x = 180°
x = 60°
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