If $∠$ XPY = 135 $°$ , $∠$ XPZ = 175 $°$ and the point Y is the interior of $∠$ ZPX, then find $∠$ YPZ.

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Solution

Given: $∠ X P Y = 135 ° and ∠ X P Z = 175 °$

From the figure, we have,
$∠ ZPX = ∠ YPZ + ∠ YPX \Rightarrow 175 ° = ∠ YPZ + 135 ° (Given) \Rightarrow 40 ° = ∠ YPZ$

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If ∠XPY = 135°, ∠XPZ = 175° and the point Y is the interior of ∠ZPX, then find ∠YPZ.

Given: ∠XPY =135° and ∠XPZ = 175° From the figure, we have, ∠ZPX = ∠YPZ +∠YPX⇒175° = ∠YPZ + 135° (Given)⇒40° = ∠YPZ

If $∠$ XPY = 135 $°$ , $∠$ XPZ = 175 $°$ and the point Y is the interior of $∠$ ZPX, then find $∠$ YPZ.

Given: $∠ X P Y = 135 ° and ∠ X P Z = 175 °$

From the figure, we have,
$∠ ZPX = ∠ YPZ + ∠ YPX \Rightarrow 175 ° = ∠ YPZ + 135 ° (Given) \Rightarrow 40 ° = ∠ YPZ$