Question

The angles of a
quadrilateral are in Al
- whose common differen
is 10° find angler​

Answer 1

Answer:

Step-by-step explanation:

let the angles of the quadrilateral be   X , X+10 . X+20 ,X+30

the sum of the angles of the quadrilateral = 360 degrees

X+ X+ 10 + X+20 +X +30  = 360

4X +60  = 360

4X = 360 - 60 = 300

X = 75

The angles of the quadrilateral are  75,  85,  95,  105 degrees

Answer 2

HERE IS YOUR ANSWER........❤

GIVEN::::::

COMMON DIFFERENCE OF AP:::: 10

TO FIND::::

THE ANGLES OF THE QUADRILATERAL

FORMULA USED:::::

FORMULA TO FIND nTH TERM OF AN AP

WHAT STUDENTS SHOULD KNOW:::

SUM OF ALL ANGLES OF A QUADRILATERAL IS 360

HOW TO FIND:::::::

LET THE FIRST ANGLE BE X

THEN THE NEXT ANGLE = X + 10 (COMMON DIFFERENCE IS 10)

AP :::: X,X+10,X+20,X+30,X+40

S4 = 360 (SUM OF ALL ANGLES)

S4 = N/2(2A + (N-1)D)

360 = 4/2(2X + 3×10)

360 = 4X + 60

4X = 300

X = 75

FIRST ANGLE = 75 DEGREE

SECOND ANGLE = 85 DEGREE

THIRD = 95 DEGREE

FOURTH = 105 DEGREE

HOPE YOU UNDERSTOOD......✌❤