Question

WILL GIVE BRAINLIEST!!!!!!!!!!!!! the answer for question one was x=30

Answer 1

Step-by-step explanation:

ANSWER:-

• We know that sum of all angles of a Quadrilateral is 360°.
• Using this we will find the value of x.

We are given:-

• ABC = 4x
• BCD = 3x
• CDA = 2x
• DAB = 3x

Now, all angles if summed up will equal 360°.

$4x + 3x + 2x + 3x = {360}^ \circ$

${12x}^{ \circ} = {360}^{ \circ}$

$\boxed{x = {30}^{ \circ} }$

Now, we will find the Respective angles:-

ABC = 4x = 120°

BCD = 3x = 90°

CDA = 2x = 60°

DAB = 3x = 90°.

Answer 2

Answer:1

1. $x = 30$

2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°

Step-by-step explanation:

It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°

We know this using the formula$(n-2)\cdot 180$, a 4 sided figures angles will add up to

$(4-2)\cdot 180\\\\2\cdot 180\\\\360$

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

$4x + 3x + 2x + 3x = 360$

Combine like terms:

$12x = 360$

Divide both sides by 12:

$x = 30$

We know now substitute x for 30 in for all of the side lengths.

∠ABC = 4x = $4\cdot 30 = 120$°

∠BCD = 3x = $3\cdot 30 = 90$°

∠CDA = 2x = $2\cdot 30 = 60$°

∠DAB = 3x = $3\cdot 30 = 90$°

Hope this helped!