Question

In the given figure, a is greater than b. by 1/6 of a straight angle. Find the values of a and b.​

Answer 1

Answer:

in this figure value of a is b plus 30 now

Step-by-step explanation:

b + 30 +b =180 find the value of b I hope this will be help you please list

Answer 2

The value of a is $105^{\circ}$ and the value of b is $75^{\circ}$.

Explanation:

As per given , we have

$a+b=180^{\circ}--(2)\\\\ a=b+\dfrac{1}{6}(180^{\circ})\\\\\Rightarrow\ a-b=30^{\circ}------(2)$

Adding (1) and (2) , we get

$2a=210^{\circ}\\\\\Rightarrow\ a=\dfrac{210^{\circ}}{2}=105^{\circ}$

Subtracting (2) from (1), we get

$2b=150^{\circ}\\\\\Rightarrow\ b=75^{\circ}$

Hence, the value of a is $105^{\circ}$ and the value of b is $75^{\circ}$.

# Learn more :

The value of b is twice the value of a. Find their values.

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