Question

Find x in tye given figure ​

Answer 1

Answer:

115°

Step-by-step explanation:

● DAG is equal to 180°

● DAG = DAH + HAG

● HAG IS 130°

● DAG = DAH + 130° => DAH + 130° = 180°

● DAH = 180° - 130° = 50 °

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ADH is a triangle

● ADH + DHA + HAD = 180°

● ADH + DHA + 50° = 180°

DHA shares the same vertex with CHE. They are opposite angles so they have the same size (35°)

● ADH + 35° + 50° = 180°

● ADH + 85° = 180°

● ADH = 180° - 85°

● ADH = 95°

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BDA equals 180°

● BDA = 180°

● BDH + ADH = 180°

● BDH + 95° = 180°

● BDH = 180° -95°

● BDH = 85°

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BDE is a traingle

● BDH+ DEB + EBD = 180°

● 85° + DEB + 30° = 180°

● DEB + 115° = 180°

● DEB = 180° - 115°

● DEB = 65°

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CEF equals 180°

● CEF = 180°

● DEB + x° = 180°

● 65° + x° = 180°

● x° = 180° - 65°

● x° = 115°