Lines AB and CD are parallel. If 1 measures (2x + 15)°, and 4 measures 101°, what is the value of x?
1 answer:
Answer:
x = 32°
Step-by-step explanation:
Given:
Line AB║CD
Angle 1 = (2x + 15)°
Angle 4 = 101°
Find:
Value of x = ?
Computation:
We know that Angle 1 and Angle 4 stay on same line , so Angle 1 and Angle 4 are liner pair.
∴ Angle 1 and Angle 4 = 180°
⇒ (2x + 15)° + 101° = 180°
⇒ 2x + 116° = 180°
⇒ 2x = 180° - 116°
⇒ 2x = 64°
⇒ x = 32°
Therefore value of x 32°
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