Question

The angle measures of the polygon are given. Find the value of x. Quadrilateral: xº, 2xº, 4xº, 5xº Triangle: 2xº, 5xº, (x+20)º PLZ PLZ PLZ HELP I GIVE 5/5 RATING AND WILL NAME BRAINLIEST!!!!!

Answer 1

Answer:

x = 30    Quadrilateral

x = 20    Triangle

Step-by-step explanation:

Quadrilateral

A quadrilateral has a sum of 360 degrees for its interior angles.

So

x + 2x + 4x + 5x = 360       Find the sum of the 4 angles

12x = 360                           Divide by 12

12x = 360/12                      

x = 30                                 Answer

Triangle

A triangle has an interior angle sum of 180 degrees.

2x + 5x  + (x + 20) = 180         Remove the brackets

2x + 5x  + x + 20 = 180           Add the angles

8x + 20 = 180                           /subtract 20 from both sides

8x = 180 - 20

8x = 160                                 Divide by 8

x = 160/8

x = 20