Question

the angles in a quadrilateral x+50,x-50,X+70,2x+10 find the measures of each angle

Answer 1

Hi friend ,

Here is your answer

Lets take the quadrilateral ABCD .

In this let's take ,

angle A = x + 50
angle B = x - 50
angle C = x + 70
angle D = 2x + 10

We already know that sum of all angles in a quadrilateral is 360° .

So ,

angle A + angle B + angle C + angle D = 360°
x + 50 + x - 50 + x + 70 + 2x + 10 = 360°
5x + 80 = 360°
5x = 360 - 80 = 280
x = 280/5 = 56

angle A = 56 +50 = 106
angle B = 56 - 50 = 6
angle C = 56 + 70 = 126
angle D = 2(56) + 10 = 122

Hope it helps

Pls mark as brainliest