What is the measurement of angle X

Mathematics

2 answers:

nataly862011 [7]3 years ago

8 0

Answer:

i believe the answer is 45° :)

muminat3 years ago

4 0

Answer:

x=45°

Step-by-step 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°

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