Answer:
x = 58°, y = 32°
Step-by-step explanation:
all sides are equal, hence it is a rhombus.
in a rhombus, diagonals meet at 90degree..
hence in triangle,
58 + 90 + z = 180 (asp of a triangle.)
z = 32
y = z ( alternate interior angles as lines are parallel in rhombus)
y = 32
in the bigger triangle,
angles opposite to equal sides are equal, hence,
32 + 32 + (58 + x) = 180 ( angle sum property of a triangle,)
hence, x = 58
therefore,
x = 58°, y = 32°
Answer:
x = -3
Step-by-step explanation:
Answer: 7.5
Form your proportion. Let x be the width of QRST.
Length of ABCD Length of QRST
----------------------- = -------------------------
Width of ABCD Width of QRST
8/5 = 12/x
Solve for x by cross-multiplying.
(8)(x) = (12)(5)
8x = 60
x = 7.5