231k views
5 votes
Find the value of X.
128°
x"
82°
40°

Find the value of X. 128° x" 82° 40°-example-1

2 Answers

4 votes

Answer: 110

Explanation:

The sum of the total measures of the angles in any quadrilateral is 360. so:

128 + 40 + 82 = 250

360 - 250 = 110

User Celines
by
3.7k points
3 votes

The value of x is 110° .

A quadrilateral with three known angles: 128°, 82°, and 40°.

To find the fourth angle (let's call it x), you can use the fact that the sum of

the interior angles of a quadrilateral is always 360 degrees.

So, if we sum the known angles:

128 +82 +40 =250

To find x, subtract the sum of the known angles from the total sum of angles in a quadrilateral:

360 −250 =110

Therefore, x=110, completing the quadrilateral's set of angles.

User Yitzy
by
3.1k points