Answer:
°
Step-by-step explanation:
Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is °.
Now, with all of this information, we can set up the following equation and solve for :
(Simplify LHS by combining like terms)
(Subtract
from both sides of the equation to isolate
)
(Simplify)
(Divide both sides of the equation by
to get rid of
's coefficient)
° (Simplify)
Hope this helps!
Given:
Two similar rectangles.
To find:
The area of the larger rectangle.
Solution:
Let x be the other side of the larger rectangle.
Corresponding sides of similar figures are always congruent.
The other side of larger rectangle is 2 cm.
We know that, area of rectangle is
So, area of the larger rectangle is
Therefore, the area of the larger rectangle is 8 sq. cm.
