Question

Angles of a quadrilateral are 85 degree 95 degree x degree and x + 10 find the value of x

Answer 1

Step-by-step explanation:

Given ,

The angles are 85 degrees , 95degrees ,x, x+10

Sum of angles of quadrilateral =360

85+95+x+x+10=360

190+2x =360

2x=360-190

2x= 170

x= 170/2

x=85

The angles are 85,95,85,95

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Answer 2

Given - Angles of quadrilateral

Find - Value of x

Solution - The value of x is 85°

As per the known facts, the sum of all the interior angles of a quadrilateral is 360°. So, representing this in mathematical expression-

85 + 95 + x + x + 10 = 360

Performing addition to find the value of x.

190 + 2x = 360

2x = 360 - 190

Performing subtraction to find the value of x.

x = 170/2

Performing division to find the value of x.

x = 85

So, the value of x is 85°.

The angles of a quadrilateral are 85°, 95°, 85° and 95°.