find the missing angles of the following polygons
Answers
Answer:
180 - angle= angle to find
Answer:
(c) x = 120°
y = 110°
z = w = 65°
(d) z = 130°
x = 100°
w = 50°
y = 130°
(e) x + y + w + z = 360°
Step-by-step explanation:
(c)
60 + x = 180 (angles on a straight line)
x = 180 -60
x = 120°
y +70 = 180 (angles on a straight line)
y = 180-70
y = 110°
z = w (given in question [both angles are represented by double curve])
w+ x + y + z = 360 ° (sum of quadrilateral)
2w + 120+110 = 360
2w = 360- 230
2w = 130
w = 65°
(d)
50 + z = 180
z = 180 - 50
z = 130°
x +80 = 180
x = 180-80
x = 100°
80+ 50+ w = 180 (Angle sum property of triangle)
w + 130 = 180
w = 180 - 130
w = 50°
w + y = 180
50 + y = 180
y = 130°
(e)
x + y + w + z = 360 (Exterior angles sum)
(As no other information is given I had consider angle as equal )
If all 4 angles are equal , then
x = y = w = z = 90°