Question

In the given figure a is greater than b by one third of Right Angle.
Find a and b.

Please give me a answer plz it's very urgent

Answer 1

$\textbf{ \large{ \underline{ Hello Mate! }}}$

Ques : a is greater than b by one third of right angle.

Equation : $a = \frac{1}{3} \times 90 + b \\ a = 30° + b$

a - b = 30° ___(1)

Now, a + b = 180° [ Linear Pair ] ____(2)

On adding both equations

2a = 210°

a = 105°

Keeping value of a in eqn(1)

a - b = 30°

105° - b = 30°

105° - 30° = b

75° = b

$\boxed{ a = 105°\:and\:b = 75° }$

Have great future ahead!

Answer 2

let b is X and it is given that a is greater than b by one third of right angle
so a=1/3×90+X=X+30
than angle X+30+X=180(linear pair)
2x=180-30
2x=150
x=75
b=75:and a=x+30=75+30=105
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