MATH SOLVE

5 months ago

Q:
# What will be angle COD If: angle COD minus angle KOD equals 61degrees and angle COD minus angle KOC equals 53degrees?

Accepted Solution

A:

Use algebra for such problems

let, Angle COD = x

Angle KOD = y

Angle KPC = z

Given ,. x - y = 61° ( Equation 1 )

x - z = 53° ( Equation 2 )

Subtract 1st equation from 2nd and you'll get :

z - y = 8° ( Equation 3 )

Now since , x + y + z = 180° ( Equation 4 )

Add Equation 3 to Equation 4 and you'll get

x + 2z = 188° ( Equation 5)

From Equation 2 we know that , x -z = 53°

or, x = 53° + z ( Equation 6 )

Put this value of 'x' in Equation 5 and solve for z. you'll get :

(53° + z) + 2z = 188°

or

3z = 188 - 53 = 135°

solving for z we get

z = 45°

put this value of z in Equation 5

x + ( 2 x 45° ) = 188°

or

x = 188° - 90° = 98°

hence , Angle COD = 98°

Use algebra for such problems

let, Angle COD = x

Angle KOD = y

Angle KPC = z

Given ,. x - y = 61° ( Equation 1 )

x - z = 53° ( Equation 2 )

Subtract 1st equation from 2nd and you'll get :

z - y = 8° ( Equation 3 )

Now since , x + y + z = 180° ( Equation 4 )

Add Equation 3 to Equation 4 and you'll get

x + 2z = 188° ( Equation 5)

From Equation 2 we know that , x -z = 53°

or, x = 53° + z ( Equation 6 )

Put this value of 'x' in Equation 5 and solve for z. you'll get :

(53° + z) + 2z = 188°

or

3z = 188 - 53 = 135°

solving for z we get

z = 45°

put this value of z in Equation 5

x + ( 2 x 45° ) = 188°

or

x = 188° - 90° = 98°

hence , Angle COD = 98°