please answer this question it's important. thank you.
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ᵃⁿᵍˡᵉ ᵇᵉᵗʷᵉᵉⁿ ᵗʰᵉ ᵗʷᵒ ᵗᵃⁿᵍᵉⁿᵗˢ. ˢᵒˡᵘᵗⁱᵒⁿ, ᵃᶜᶜᵒʳᵈⁱⁿᵍ ᵗᵒ ᵗʰᵉ ᵃᵗᵗᵃᶜʰᵉᵈ ᵈⁱᵃᵍʳᵃᵐ, ᵗʰᵉ ᵃⁿᵍˡᵉ ᵇᵉᵗʷᵉᵉⁿ ᵗʷᵒ ʳᵃᵈⁱᵘˢ ᵒʳ ∠ᵃᵒᵇ = 110°. ⁿᵒʷ, ᵗʰᵉ ᵃⁿᵍˡᵉ ᵇᵉᵗʷᵉᵉⁿ ᵗʰᵉ ʳᵃᵈⁱᵘˢ ᵃⁿᵈ ⁱᵗ'ˢ ᵗᵃⁿᵍᵉⁿᵗ ⁱˢ 90°.
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According to the attached diagram, the angle between two radius or ZAOB =110°.
Now, the angle between the radius and it's tangent is 90°.
Which means, ZOAP and ZOBP are 90°.
Now, we need to calculate ZAPB.
We know that the sum of the four internal angles of any four sided polygon is 360°.
In AOBP,
ZAOB + ZOAP + ZOBP + ZAPB = 360°
110°+90°+90°+ZAPB = 360°
290+ZAPB = 360°
ZAPB = 360°-290°
ZAPB = 70°
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