Question

in quadrilateral ABCD angle A is equal to 38 degree angle C is equals to 3 angle A and angle D is equals to 4 angle a find the value of Angle B​

Answer 1

Answer:

56°

Step-by-step explanation:

Quadrilateral ABCD

A = 38°

C = 3A = 3*38° = 114°

D = 4A = 4*38° = 152°

sum of all angles of quadrilateral is 360°

so,

A + B + C + D = 360°

38°+ B +114°+152° = 360°

B + 304° =360°

B = 360°-304°

B = 56°

measure of angle B is 56°.

Answer 2

GIVEN :-

• ∠A = 38°

• ∠C = 3∠A

• ∠D = 4∠A

TO FIND :-

• FIND THE VALUE OF ∠B

SOLUTION :-

FINDING ANGLE C AND ANGLE D

$\implies \rm { \bf \: \angle a=38 \degree }$

$\implies \rm { \angle c =3 \angle a }$

$\implies \rm { \angle c =3(38)}$

$\implies \rm { \bf \angle c =114 \degree}$

$\implies \rm { \angle d =4 \angle a }$

$\implies \rm { \angle d =4 (38) }$

$\implies \rm { \bf \angle d =152 \degree }$

now we know that

$\implies \boxed{\rm{sum \: of \: angle \: of \: quad = 360 \degree}}$

$\implies \rm{ \angle a + \angle b + \angle c + \angle d= 360 \degree}$

hence ,

$\implies \rm{ 38\degree + \angle b + 114\degree + 152\degree= 360 \degree}$

$\implies \rm{ 304\degree + \angle b = 360 \degree}$

$\implies \rm{ \angle b = (360 - 304) \degree}$

$\implies \boxed{ \boxed{ \rm{ \angle b = 56 \degree}}}$

OTHER INFORMATION :-

WHAT IS QUADRILATERAL ?

• A four-sided polygon along with two dimensions is known as Quadrilateral. A Quadrilateral can be convex or conclave based on their dimensions. If Dimensions are inside the borderline of polygon than it will be termed as a convex quadrilateral. Based on the sides, and angle there are the following six types of convex Quadrilaterals.

TYPES OF QUADRILATERAL :-

• Parallelogram

• Rectangle

• Square

• Rhombus

• Trapezium

• Kite

But before elaborating the properties of the above quadrilateral we will go through a few common properties of quadrilateral that will be visible in every type of quadrilaterals-

• Every quadrilateral has four sides.

• Every quadrilateral consist of four corners or vertex

• The interior angle of quadrilateral adds up to 360° in every quadrilateral.