Question

in the given figure POR and angle QOR form a linear part if a - b = 80 degree find the value of a and b​

Answer 1

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$\large \tt \red{✦Answer✦}$

a - b = 80

a + b = 180

a = 80 + b

putting 80 + b in place of a

80 + b + b = 180

80 + 2b =180

2b = 180 - 80

2b = 100

  b = 50

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Answer 2

Answer:

$\huge\fbox{\color{darkblue}{Answer}}$

$\huge{\underline{\underline{Given}}}$

a-b = 80°

$\huge{\underline{\underline{To\: Find}}}$

a and b

$\huge{\underline{\underline{Proof}}}$

a-b = 80° ⇥ (1)

a+b = 180° ⇥ (2)

a = 80° + b ⇥ (3)

Substitute value of a for equation (2)

80°+b+b = 180°

80° + 2b = 180°

2b = 180° - 80°

2b = 100°

b = 50° ⇥ (4)

Now, substitute the value of b for equation (3)

a = 80° + 50°

$\large\fcolorbox{pink}{red}{a = 130°}$