Question

Classify the quadrilateral then find the values of the variable (s) PLS HELPPP

Answer 1

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 2

To find :-

Value of x and y

Given:-

∠CAD= 58°

Solution:-

=>∠CAD=∠CBD ⠀⠀⠀⠀⠀⠀⠀⠀⠀

[ Angle in same segment ]

=>∠CBD =58°

=>Y = 58°

=>∠BCD =∠DBC. [ BD = CD]

=>∠BCD= 58°

=>∠BCD =∠DAB.

[ Angle in same segment]

=>∠DAB =58°

=>x= 58°