Question

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Answer 1

Answer:

x = 45°

Step-by-step explanation:

Given :AB || CD

• Let the intersection point of CD and EF be O.

• Now we have given ⦟ABE = 75°, ⦟BFD = 30°

• Since AB II CD, so:

⦟ABE + ⦟CEB = 180° (interior angles)

⦟CEB = 180 - 75°

⦟CEB = 105° = ⦟DEF (vertically opposite angles)

• In triangle DEF , we have:

⦟DEF + ⦟EDF + ⦟DFE = 180°

⦟EDF = 180° - 30° - 105°

ang EDF = 45°

So the value of x is 45°.

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Answer 2

Answer:

x=45°

Step-by-step explanation:

ㄥABE=ㄥCEF. -(property of two parallel lines &

it's transversal)

thereforeㄥCEF= 75°

ㄥCEF + ㄥFED =180°

thereforeㄥFED =105°

In Triangle FED,

ㄥF+ㄥE+ㄥD=180°

30+105+x=180

135+x=180°

x=180-135

x=45