<span>96 degrees
Looking at the diagram, you have a regular pentagon on top and a regular hexagon on the bottom. Towards the right of those figures, a side is extended to create an irregularly shaped quadrilateral. And you want to fine the value of the congruent angle to the furthermost interior angle. So let's start.
Each interior angle of the pentagon has a value of 108. The supplementary angle will be 180 - 108 = 72. So one of the interior angles of the quadrilateral will be 72.
From the hexagon, each interior angle is 120 degrees. So the supplementary angle will be 180-120 = 60 degrees. That's another interior angle of the quadrilateral.
The 3rd interior angle of the quadrilateral will be 360-108-120 = 132 degrees. So we now have 3 of the interior angles which are 72, 60, and 132. Since all the interior angles will add up to 360, the 4th angle will be 360 - 72 - 60 - 132 = 96 degrees.
And since x is the opposite (or congruent) angle to this 4th interior angle, it too has the value of 96 degrees.</span>
Answer:
D
Step-by-step explanation:
A is not correct. A trapezoid does not have 4 equal sides.
B is not correct. Same reason as A even if the trapezoid is isosceles.
C is not correct. A square has 4 equal sides and 2 sets of parallel lines and 1 right angle. That is not what this figure looks like.
D is the correct answer.
E is incorrect. A rectangle has 2 pairs of equal sides and two sets of opposite sides that are equal and parallel. It also has at least 1 right angle.
The original figure has none of these things.
Temperature changes depending on the time of the day.
Step-by-step explanation:
Answer:
4 :-)))))))) have a wonderful day!
