Question

The angles of a quadrilateral are x, 2x,(x - 10), (x + 25 ). Find
the measure of largest angle. *​

Answer 1

Answer:

The measure of the largest angle is 136.

Step-by-step explanation:

sum of the angles in a quadrilateral = 360

x + ( x - 10 ) + ( x + 30 ) + 2x = 360

x + x + x + 2x -10 +30 = 360

5x + 20 = 360  

5x = 360 - 20

5x = 340

x = 340 / 5

x = 68

first angle = x = 68°

second angle = x - 10 = 68 - 10 = 58°

third angle = x + 30 = 68 + 30 = 98°

fourth angle = 2x = 2 × 68 = 136°