Question

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

Answer 1

Step-by-step explanation:

Hi ,

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°

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Answer 2

Step-by-step explanation:

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

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

5x+20=360

5x=360-20

5x=340

x=68

first angle= x= 68°

second angle= x-10=68-10=58°

third angle= x+30=68+30=98°

fourth angle=2 x=2×68=136°

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