Question

*The four angles of a quadrilateral are x, x + 5, x-5 and 30 degrees. So what is the measure of the largest angle?*​

Answer 1

Step-by-step explanation:

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

sum of angles = 360°

x + (x+5) + (x-5) + 30 = 360

x + x + x +5 -5 + 30 = 360

3x = 330

x = 110°

now putting the value of X to find each angle

X = 110°

X+5 = 110 + 5 = 115°

X-5 = 110 - 5 = 105 °

and the fourth angle is 30°

so, the measure of the largest angle is 115 ° that is X+ 5