In the fig given below .AB║DC find xhelpplzzz
1 answer:
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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Answer:
The correct option is (D).
Step-by-step explanation:
The two expressions are:
On simplifying both the expressions we get:
Compute the value of both expressions for <em>x</em> = 2 as follows:
The value of both expressions are same for <em>x</em> = 2.
Thus, the correct option is:
"They are equivalent because when x = 2, the two expressions have the same value."