Question

Find the value of x and angle BOA

Answer 1

Answer:

x = 17°

<BOA = 105°

Step-by-step explanation:

<BOA = 5x + 20°

<AOC = 75°

<BOA + <AOC = 180° [Straight Line]

→ 5x + 20° + 75° = 180°

→ 5x + 95° = 180°

→ 5x = 180° - 95°

→ 5x = 85°

→ x = 85°/5

→ x = 17°

<BOA

= 5x + 20°

= (5 X 17°) + 20°

= 85° + 20°

= 105°

HOPE IT HELPS YOU !

THANKS !

Answer 2

Answer:

X = 17

BOC = 85

Step-by-step explanation:

Here :

GIVEN DATA :

Angle BOA = 5x+20

as we know that Angle BOA and Angle AOC is forming linear pair(180) which means

that , Angle BOA + Angle AOC =

= (5x+20) + (75)= 180

now solve it, so we will get ,

5x+20+75= 180

= 5x + 95=180

= 5x = 180-95   (we took 95 to the R.H.S it becomes -95)

= 5x= 85

= now , x = 85/5 (here we took 5 to that side it becomes 1/5 = 85/1*1/5= 85/5

=so, X = 85/5 = 17

now , we got X = 17 .

2) now we need to find BOA

as we know BOA = 5x +20

and here we got x as 17

so, 5*17+ 20= 85 degree

there fore we got BOC as 85 degree