Question

12. The angles of a quadrilateral are 2x + 3°, x + 7°, 3x - 5° and 2x +11
• measure of each angle of the quadrilateral.​

Answer 1

$\huge \red{ \mathfrak{solution}}$

Given:

The angles of quadrilateral are

2x+3° , x+7° , 3x-5° and 2x+11°

As we know that ,

sum of the angles of quadrilateral is 360 °

so,

=>2x+3°+x+7°+3x-5°+2x+11°= 369°

=>8x+16°=360°

=> 8x= 360°-16°

=> 8x=344°

=> x=344°/8

=>x= 43°

So the 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°

Hence ,the angles are

89° , 50° ,124° and 97°

Answer 2

sum of angles of quad is 360

then,

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

= 8x+16=360

=8x=360-16

=x=344/8

=x=43

measure of each angle is

put the value of x

2x+3 = 89

x+7=50

3x-5=124

and

2x+11=97