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What is the measurement of angle X​

What is the measurement of angle X​-example-1
User Ltamajs
by
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1 Answer

2 votes

Answer:

x=45°

Explanation

let E be the vertex of 80° and 55° meeting point

in triangle BCE

∠55°+∠C+∠B=180°

∠55°+∠C+90°=180°

∠C=180°-90°-55°=35°

IN triangle EDC

∠E+∠D+∠C=180°

given ∠E=80° ∠C=55° ∠D=X

80°+X+55°=180°

X=180°-80°-55°

X=45°

User Be
by
7.3k points
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