Question

In the given figure, AB is a straight line. Find the measures of BOD, COD

Answer 1

Answer:

∠BOD = 60°, ∠COD = 80°

Step-by-step explanation:

Given:

AB - Straight Line

∠AOB = 180°

∠AOC = 40°

∠BOD = 3x

∠COD = 4x

To Find:

∠BOD, ∠COD

Solution:

∠AOB = 40° + ∠BOD + ∠COD

180° = 40° + 3x + 4x

140° = 7x

x = 20°

∠BOD = 3x

∠BOD = 3(20°)

∠BOD = 60°

Similarly,

∠COD = 80°

Answer 2

Answer: STRAIGHT LINE IS ALWAYS 180 DEGREE

AOC + COD + DOB = 180 DEGREE

40 + 4x + 3x = 180

4x + 3x = 180 - 40

7x = 140

x = 140 / 7

x=20

AOC= 40

COD = 4x , (x= 20 ) 4 INTO 20 = 80 DEGREE

DOB = 3x (x=20 ) 3 INTO 20 = 60 DEGREE

LETS CHECK OUR ANSWER

AOC + COD + DOB = 180 DEGREE

40 + 80 + 60 =180

180 = 180

OUR ANSWER IS CORRECT .