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Answer:
The value of mHLK will be "(204)°".
Step-by-step explanation:
The given values are:
mJI = (3x+2)°
mHLK = (15x-36)°
and,
m∠HML = (8x-1)°
then,
mHLK = ?
Now,
By using chord-chord formula of angle, we get
On putting the values in the above formula, we get
⇒
On applying cross-multiplication, we get
⇒
⇒
On subtracting "18x" from both sides, we get
⇒
⇒
On adding "2" both sides, we get
⇒
⇒
⇒
⇒
On putting the value of "x" in mHLK = (15x-36)°, we get
⇒ (15x-36)° = (15×16-36)°
⇒ = (240-36)°
⇒ = (204)°
So that mHLK = (204)°