Respuesta :
In a parallelogram, Consecutive angles are supplementary 5x+7x=180,so x= 15
The value of x is 15.
What is parallelogram?
- "It is a quadrilateral with opposite sides parallel."
- "The opposite angles of parallelogram are equal. "
For given question,
Two of the angles in a parallelogram measure 5x° and 7x°
The measure of an angle opposite to 5x° is also 5x°
Similarly the measure of an angle opposite to 7x° is also 7x°
So, we have the four angles of parallelogram as 5x°, 7x°, 5x°, 7x°
We know, the sum of all angles of quadrilateral is 360°
⇒ 5x° + 7x° + 5x° + 7x° = 360°
⇒ (5 + 7 + 5 + 7) x = 360
⇒ 24x = 360
⇒ x = 15
Therefore, the value of x is 15.
Learn more about parallelogram here:
https://brainly.com/question/1563728
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