Question

in the given figure if angle abc + angle BOC + Angle B O D equal to 3 and 38 degree find all the four angle​

Answer 1

Answer:4 angle is =114°

I hope this may help you......,,,

Answer 2

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

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

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

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

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

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

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.