Question

the angles of a quadrilateral are as follows, angle A= (x+20) angle B= (x-20) angle c =(2x+5) angle D= (2x-5) ,find angle D ​

Answer 1

Step-by-step explanation:

A + B + C + D = 360°

(x +20) + (x - 20) + (2x + 5) + (2x - 5) =360°

x + 20 + x-20 + 2x+5 +2x-5 =360°

x+x+2x+2x+20-20+5-5 = 360°

2x + 4x = 360°

6x = 360°

x = 360° / 6

x = 60°

Angle D = 2x - 5

= 2 × 60° - 5

= 120° - 5

Angle D =115°

Hope this is a helpfull