3 years ago

In the fig given below .AB║DC find xhelpplzzz

Mathematics

1 answer:

marissa [1.9K]3 years ago

6 0

Answer:

x = 150°

Step-by-step explanation:

The given parameters are;

AB ║ DC

∠BAE = 105°

∠AEC = 25°

We construct a line CF from C parallel to the line AE as presented in the included diagram created with Microsoft Visio

We have;

∠DCF ≅ ∠BAE = 105° by similar angles formed by two pairs of parallel lines

∠AEC = ∠ECF = 25° by alternate interior angles formed by two parallel lines and a common transversal

x = 125° + 25° = 150° By angle addition postulate

x = 150°.

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