In the following figure, find the value of x+y+z+w.
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answer is 360
Step-by-step explanation:
Since, the sum of the measures of interior angles of a quadrilateral is 360
∘
Also,115
∘
+70
∘
+60
∘
=245
∘
∴∠ABC=360
∘
−245
∘
=115
∘
Now, x=ext∠BCD
=180
∘
−115
∘
=65
∘
y=180
∘
−70
∘
=110
∘
z=180
∘
−60
∘
=120
∘
w=180
∘
−115
∘
=65
∘
∴x+y+z+w=65
∘
+110
∘
+120
∘
+65
∘
=360
∘
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