Question

Question 1.
IN adjoining figure , AOB is straight line. Find angle Aoc and Angle Bod
【figure right hand 】
Question 2.
In adjoining figure , what value of x will make Aob a straight line ?
【figure left hand 】

Answer 1

From the figure we know that ∠AOB is a straight line So we get ∠AOB = 180o It can also be written as ∠AOC + ∠COD + ∠BOD = 180o By substituting the values (3x – 7) o + 55o + (x + 20) o = 180o 3x – 7o + 55o + x + 20o = 180o On further calculation 4x + 68o = 180o 4x = 112o By division x = 28o By substituting the value of x we get ∠AOC = (3x – 7)o = 3(28o) – 7o On further calculation = 84o – 7o By subtraction = 77o ∠BOD = (x + 20)o = (28 + 20)o By addition = 48°

Answer 2

Answer:

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From the figure we know that ,

∠AOB is a straight line.

So we get ∠AOB = 180

It can also be written as :

∠AOC + ∠COD + ∠BOD = 180

By substituting the values,

(3x – 7) o + 55o + (x + 20) o =

180o 3x – 7o + 55 + x + 20 = 180

On further calculation,

4x + 68 = 180 4x = 112

By division x = 28

By substituting the value of x we get,

∠AOC = (3x – 7)o = 3(28o) – 7o

On further calculation = 84 – 7

By subtraction = 77 ∠BOD = (x + 20)o = (28 + 20)

By addition,

48 degree