Question

The angles of a quadrilateral are 2x+3,x+7,3x-5,2x+11 find the measure of each of these angles

Answer 1

Hey friend

Here is your answer :

2x+3+x+7+3x-5+2x+11=360

8x+16=360

8x=360-16

8x=344

x=344/8

x=43

Measure of angles :

2x+3=2×43+3=86+3=89°

x+7=43+7=50°

3x-5=3×43-5=129-5=124°

2x+11=2×43+11=86+11=97°

All the angles of the quadrilateral are 89°,50°,124° and 97°

Hope this helps you

Answer 2

As we know that sum of the angles of a quadrilateral is 360°

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2x + 3 + x +7 + 3x - 5 + 2x + 11 =360

8x + 16 =360

8x = 360-16

8x = 344

x= 43

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Then,angles are ;-

• 2x + 3 = 2(43)+3 = 86+3=89°

• x +7 = 43+7=50°

• 3x -5= 3(43) -5 = 129-5=124°

• 2x +11 = 2(43)+11=86+11=97°



I hope this will help you

-by ABHAY