LEVEL
1. In Fig. 10.31, OA and OB are opposite rays:
(i) If x = 25°, what is the value of y? (ii)
С
(24+5)
3r
O
A
B
Fig. 10.31
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3
Answer:
y=50
Step-by-step explanation:
Given, x=25o => 3xo=75o
We know that ∠AOC,∠BOC are linear pairs of angles.y=
∴∠AOC+∠BOC=1800
(2y+5)o+3x0=180
2y+5+75=180 [ ∵ 3xo=75o]
2y+80=180
2y=180−80
y=2100
∴y=50∘
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