Question

3. Find x in the given figure where AOB is the straight line
C
3x-10° 2x+15°
A А
0
B​

Answer 1

Answer:

3x - 10° + 2x + 15° = 180° ( linear pair)

3x + 2x + 15 - 10 = 180°

5x + 5 = 180°

5x = 180° - 5

5x = 175°

x = 175 / 5

x = 35°

Answer 2

Answer:

x = 35

Step-by-step explanation:

We know that a straight line segment or ray has a total of 180° angle.

Hence, AOC° + COB° = 180° ---> (i)

AOC° = (3x - 10)° ---> (ii)

COB° = (2x + 15)° ---> (iii)

On substitution in (i), we get -

3x - 10 + 2x + 15 = 180

5x + 5 = 180

5x = 180 - 5

5x = 175

x = 175/5

x = 35

Hence, x = 35.