Question

Ignore the blobs, just need the answer from the question and figure

Answer 1

Answer:

We know that ∠AOC +∠BOC =180

∴( 3X + 5) + (2X-25) = 180

3X+2X+5-25=180

5X - 20 =180

5X= 180+20= 200

X = 200/5= 40

HOPE THIS WILL HELP YOU

PLS MARK BRAINLIEST IF IT HELPED YOU

Answer 2

Answer:

The value of x that will make AOB a straight line = 40°

Step-by-step explanation:

Given:

∠ AOC = ( 3x + 5 )°

∠ BOC = ( 2x - 25 )°

To find:

Value of x so that AOB is proved a straight line

Solution:

If AOB is a straight line

Then, ∠ AOC  + ∠ BOC = 180°

⇒ ( 3x + 5 )° +  ( 2x - 25 )° = 180°

⇒ 3x + 5 + 2x - 25 = 180

⇒ 3x + 2x = 180 - 5 + 25

⇒ 5x = 200

⇒ x = 200 / 5

= 40

∴ value of x = 40

Checking :

( 3x + 5 )° = ( 3 * 40 ) + 5 = 125°

⇒ ∠ AOC = 125°

( 2x - 25 )° = ( 2 * 40 ) - 25 = 55°

⇒ ∠ BOC = 55°

Now as per the question -

∠ AOC  + ∠ BOC = 180°

∴ 125° + 55° = 180°

STRAIGHT LINE = 180°

∴ The value of x that will make AOB a straight line = 40°

hope it helps you..