please answer this question
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Answered by
1
Step-by-step explanation:
a+b = 180
a_b= 80
so answer is 130 and 50
Answered by
3
Answer:
a = 130
b = 50
Step-by-step explanation:
According to the question, ∠POR and ∠QOR are a linear pair, which means that a + b = 180° ..... eq.1
Also, the question tells us that a - b = 80° ..... eq.2
So, a + b = 180°
a - b = 80°
Now, making an equation for this, we can write that:
a + b - 100 = a - b
So, solving the equation we get:
a - a + b + b = 100
means that, 2b = 100 or b = 100/2
∴ b = 50
if b = 50, then according to eq.1,
a = 180 - b → a = 180 - 50
∴ a = 130
To verify,
according to eq.2)
a - b = 80
130 - 50 = 80
HENCE, VERIFIED
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