Question

two angles of a quadrilateral measure 55 degree each the third angle is 140 degree what is the measurement of the fourth angle

Answer 1

110 is the answer because
55+55+140
=250
360-250
=110

Answer 2

Solution:

The measurement of the fourth angle is 110 degrees.

Explanation:

Let x be the measure of the fourth angle.

We know that the sum of the interior angles of a is 360 degrees.

We'll use this fact to find the measurement of the fourth angle of the quadrilateral .

We have been given that two angles are 55 degrees each and the third angle is 140 degrees. Hence, we have

$55^{\circ}+55^{\circ}+140^{\circ}+x=360^{\circ}\\\\110^{\circ}+140^{\circ}+x=360^{\circ}\\\\250^{\circ}+x=360^{\circ}\\\\x=(360-250)^{\circ}\\\\x=110^{\circ}$

Therefore, the measurement of the fourth angle is 110 degrees.