Math, asked by Anonymous, 2 months ago

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

Answered by Sach5
1

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.

Answered by raheepradeep6306
1

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

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