Question

IF ABCD IS A RHOMBUS THEN FIND THE VALUE OF X

Answer 1

Answer:

x = 50⁰

Step-by-step explanation:

We know that all the sides are equal in a rhombus

Consider △ABD

We get

AB=AD and ∠ABD=∠ADB

It can be written as

x=y....(1)

Consider △ABC

We get

AB=BC and

∠CAB=∠ACB

We know that

∠ACB=40

by using the sum property of a triangle

∠B+∠CAB+∠ACB=180

By substituting the values in equation

∠B=40 +40 =180

∠B=180 −80

∠B=100

∠DBC can be written as

∠DBC=∠B−x

by sbstituting the values

∠DBC=100 −x

From the figure we know that ∠DBC and ∠ADB are alternate angles

∠DBC=∠ADB=y

by subsituting the value of ∠DBC

100 −y =y

consider the equation (1) we know thatx=y

100 −x =x

2x =100

x =50

therefore x=y=50

Answer 2

Answer:

in the figure the adjacent angles are 180°

$2x + x = 180$

$3x = 180$

$x = \frac{180}{3}$

$x = 60$

$2x = 60 \times 2 = 120$

so, the value of x is 60° and 120°

Step-by-step explanation:

hope helpful