Question

I WILL MARK BRAINLIEST AND ALSO FOLLOW WHOEVER WILL ANSWER THIS WITH PROCESS .


FIND THE VALUE OF x AND y IN THIS RHOMBUS.

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Answer 1

Answer:

x = 50°

y = 80°

Step-by-step explanation:

here,

let the rhombus be ABCD

here,

BD = diagonal of the rhombus

ADC = 50°

BDC = x

DAB = y

and we know that

by the property of the rhombus

diagonal of the rhombus bisects the angle

so,

ABB = BDC

so,

x = 50°

now,

now,

also in the properties of a rhombus that

sum of adjacent angle of any rhombus is 180°

so,

ADC + DAB = 180°

x + 50 + DAB = 180°

50 + 50 + DAB = 180

100 + DAB = 180

DAB = 180 - 100

DAB = 80°

DAB = y

so,

y = 80°

_____________

x = 50°

y = 80°

Answer 2

Answer:

x = 50°

y = 80°

Step-by-step explanation:

Refer to the attachment

sorry for the bad handwriting

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EXTRA INFORMATION

Properties of rhombus

➡four equal sided polygon

➡unequal diagonals

➡frontier sides parallel

➡diagonal bisect the angle

➡both diagonals bisects each other at 90°