Question

Find the degree measure of the angles in the figure given below .​

Answer 1

Answer:

<DOA = 70 degrees

<COB = 60 degrees

<DOC = 50 degrees

explanation -

since all of the 3 angles lie on a straight line their sum is equal to 180 degrees

so, we can form an equation to solve it as follows-

= (x+40) + (x+20) + (x+30) = 180

= x + 40 + x + 20 + x + 30 = 180

= 3x + 90 = 180

= 3x = 180 - 90

= 3x = 90

= x = 90/3

= x = 30 degrees

NOW  since we know x we can find the values of all other angles

<DOA = x + 40 = 30 + 40 = 70 degrees

<COB = x+ 30 = 30 + 30 = 60 degrees

<DOC = X + 20 = 30 + 20 = 50 degrees

HOPE IT HELPS