prove the the some , Find the x
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answer for the given problem is X=120°
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Step-by-step explanation:
First extent the lines BA and DC.
Then AE is a transversal which cuts BA and DC.
AND <BAH + <DHA =180⁰{CO-INTERIOR ANGLE}
therefore, <DHA= 180⁰-105⁰
= 75⁰
<DHA+<DHE =180⁰{LENIER PAIRS}
<DHE = 180⁰-75⁰
= 105⁰
<CHE+<HEC+<ECH = 180⁰ {ANGLE SUM PROPERTY}
105⁰ + 15⁰ + <ECH =180⁰
120⁰ + <ECH = 180⁰
<ECH = 180⁰- 120⁰
= 60⁰
<ECH + <DCE = 180⁰{LENIER PAIRS}
60⁰+ <DCE = 180⁰
<DCE = 180⁰- 60⁰
= 120⁰
Therefore, x = 120⁰
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