Question

find the value of a,b,c in the adjacent figure​

Answer 1

Answer:

this will be ur answer

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Answer 2

Answer:

a=75

b=105

c=105

Step-by-step explanation:

From the adjacent figure, we can make out the angles together sum up to 360°.

Let us the name the centre point as O,

In the figure, ∠DOB,∠AOC and ∠DOA ,∠BOC are vertically opposite angles, and are equal to each other,

⇒$(2a-5)=(a+35)$

⇒$2a-a=35+5$

⇒$a=40$

First let's substitute the expressions $2a-5$ and $a+35$.

As we know the magnitude of ∠a=40°, $2a-5$= 2(40-5)=2(35)

∴75= $a+35$

As ∠DOA and ∠BOC are vertically opposite angles they are equal to each other,

∠b=∠c

As b and c are equal it will be easier if we name b as c or c as b.

I prefer naming b as c, and 2 times c is 2c

If you recall I mentioned earlier that all the angles in the adjacent figure sum up to 360°. Now, we can frame an algebriac equation stating,

⇒$75+75+2c=360$

⇒$150+2c=360$

⇒$2c=210$

∴$c=105$

∴$b=105$