find the value of x and y in the given figure! Please!
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REF. Image
As, we know that sum of interior
angles = 180
∘
so, x
∘
+y
∘
+40+60
∘
=180 ___ (1)
⇒x
∘
+y
∘
=80
∘
[in △ABD]
Also, In △ABC x
∘
+40
∘
+90
∘
=180
∘
⇒x
∘
=50
∘
In △ACD y
∘
+60
∘
+90
∘
=180
∘
⇒y
∘
=30
∘
verifying using (1) them 50
∘
+30
∘
=80
∘
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Answer:
x=100°
y=40°
Step-by-step explanation:
80°+x=180° [LP]
x=180-80
x=100°
<1=80° (opposite angles)
80°+60°+y=180 [ASP]
140°+y=180°
y=180-140
y=40°
HOPE IT HELPS!!
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