Respuesta :
It must measure 100 degrees, because the same side interior angles must add up to 180 degrees.
Answer:
The measure of the angle at the top left corner must be 100°.100°
Step-by-step explanation:
Since, the opposite angles of a parallelogram are congruent or equal in measure.
Given,
The angle at the bottom left corner measures 80°,
By the above property,
The measurement of opposite angle of left corner angle = 80°,
Let x be the measure of the angle at the top left corner,
⇒ The measure of opposite angle of the top left corner angle = x degress,
We know that,
The sum of all interior angle of a qudrilateral = 360°,
⇒ 80° + 80° + x + x = 360°
⇒ 160° + 2x = 360°
⇒ 2x = 200 ( By subtracting 160° on both sides )
⇒ x = 100°
Hence, the measure of the angle at the top left corner must be 100°.
