If the angles of a quadrilateral are x (x - 20). (x - 30) and (x + 10), find :-i) the value of x (ii) also find the measure of each angle of the quadrilateral.
any acircle with centre and adus 3.2 cm. Draw a chord AB of this circle such that A
Answers
Answer:
Answer to the quadrilateral question,
I) x=100
II) 100, 80, 70, 110
Step-by-step explanation:
Add all angles and equate to 360.
x+x-20+x-30+x+10=360
4x-40=360
x=100
Substitute x to find each angle.
Answer:
According to angle sum property of a quadrilateral. the sum of all the angles in a quad. is equal to 360 degree.
x + ( x - 20 ) + ( x - 30 ) + ( x + 10 ) = 360
x + x - 20 + x - 30 + x + 10 = 360
4x - 40 = 360
4x = 360 + 40
4x = 400
x = 400/4
x = 100 degree
Therefore,
angle 1 = x = 100 degree
angle 2 = x - 20 = 100 - 20 = 80 degree
angles 3 = x - 30 = 100 - 30 = 70 degree
angle 4 = x + 10 = 100 + 10 = 110 degree
Verification:
100 + 80 + 70 + 110 = 360 degree
Draw a circle, taking centre as O and radius = 3.2 cm
Take a point A on the circle
Taking A as centre and radius = 5 cm, draw an arc to meet the circle at point B
Now, join AB and shade the minor segment of the circle
Answer