Question
Download Solution PDFI is the incentre of the ΔXYZ. If ∠YIZ = 115 degree, then what is the ∠YXZ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFIn ΔXYZ, I is the incentre.
∠YIZ = 115°
Concepts used:
Angle formed at incentre opposite to given side = 90° +( ½ × angle opposite to given side)
Calculation:
In ΔXYZ, I is the incentre
∠YIZ = 90° + ( ½ × ∠YXZ)
⇒ 115 = 90° + ( ½ × ∠YXZ)
⇒ ( ½ × ∠YXZ) = 115 - 90
⇒ ( ½ × ∠YXZ) = 25
⇒ ∠YXZ = 25 × 2 = 50°
∴ Measure of ∠YXZ is equal to 50°.
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