the measure of 3 angles of a quadrilateral is 30*,70* and 100*.Find out the measurement of fourth angle.
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Answers
Answer:
The measure of all 4 angles of a quadrilateral is: (n-2)*180=4-2*180=2*180= 360°
So,
100+30+70+x=360°
200+x=360°
x=360°-200
x=160°
Step-by-step explanation:
Given=3 angles of quadrilateral are a=30
Given=3 angles of quadrilateral are a=30 b=70
b=70 c=100
b=70 c=100To find = 4th angle of quadrilateral, d=?
b=70 c=100To find = 4th angle of quadrilateral, d=? solution =
b=70 c=100To find = 4th angle of quadrilateral, d=? solution = property = The measure of all angles of quadrilateral is 360°
b=70 c=100To find = 4th angle of quadrilateral, d=? solution = property = The measure of all angles of quadrilateral is 360°Hence,
b=70 c=100To find = 4th angle of quadrilateral, d=? solution = property = The measure of all angles of quadrilateral is 360°Hence,a+b+c+d= 360°
b=70 c=100To find = 4th angle of quadrilateral, d=? solution = property = The measure of all angles of quadrilateral is 360°Hence,a+b+c+d= 360°30+70+100+d=360
b=70 c=100To find = 4th angle of quadrilateral, d=? solution = property = The measure of all angles of quadrilateral is 360°Hence,a+b+c+d= 360°30+70+100+d=360200+d=360
b=70 c=100To find = 4th angle of quadrilateral, d=? solution = property = The measure of all angles of quadrilateral is 360°Hence,a+b+c+d= 360°30+70+100+d=360200+d=360d=360-200
b=70 c=100To find = 4th angle of quadrilateral, d=? solution = property = The measure of all angles of quadrilateral is 360°Hence,a+b+c+d= 360°30+70+100+d=360200+d=360d=360-200d=160
Hence, d=160