Question

answer it step by step​

Answer 1

Answer:

25°

Step-by-step explanation:

if AOB is a straight line then sum of all the angles given will equals 180°

x - 10° + 4x - 25° + x + 5° = 180°

6x - 30° = 180°

6x = 150°

x = 25°

Answer 2

Solution :

Here it is given that AOB is a straight line in which

• ∠AOD = (x - 10)°
• ∠DOC = (4x - 25)°
• ∠COB = (x + 5)°

As we can see here that these are forming linear pair and we know that sum of all angles on a linear pair is 180°.

Now, according to question :

• ➠ ∠AOD + ∠DOC + ∠COB = 180°
• ➠ (x - 10)° + (4x - 25)° + (x + 5)° = 180°
• ➠ x - 10 + 4x - 25 + x + 5 = 180
• ➠ x + 4x + x - 10 - 25 + 5 = 180
• ➠ 6x - 10 - 20 = 180
• ➠ 6x - 30 = 180
• ➠ 6x = 180 + 30
• ➠ 6x = 210
• ➠ x = 210/6
• ➠ x = 35°

Hence, the value of x is 35°.