Question

If the angles of a quadrilateral are X , (X+10), (X+20),and (X+30). Find the value of Xmas and hence the value of each interior angle

Answer 1

Step-by-step explanation:

sum of angles in a quadrilateral is 360 degrees

x+x+10+x+20+x+30=360,

4x+60=360,

4x=360-60,

4x=300,

x=75

x+10=85

x+20=95

x+30=105

Answer 2

sum of the angles of quadrilateral is equal to 360

x + x + 10+ x + 20+ x+30 = 360

4x + 60 = 360

4x=360-60 4) 300 (75

4x=300 300

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0

x = 300/4

x = 75

x+10=75 +10=85

x + 20=75+20 = 95

x + 30 = 75+30 = 105

75+85+95+105 = 360

LHS = RHS