Question

find the value of x ​

Answer 1

Answer:

60+<1+ 55=180 linear pair angles

<1 =65

<1+2x+105=360 (sum of angles of quadelatral =369)

65+105+2x=360

175+2x =360

2x=360-175

2x=190

x= 95

Answer 2

Answer:

x = 95°

Step-by-step explanation:

Let angle opp. to 105° be y, then

60° + 55° + y = 180 ° [ Linear pair]

y = 180° - 115°

y = 65°

Now since sum of all the angles of a quadrilateral is 360° , therefore

105° + y + x + x = 360°

105° + 65° + 2x = 360°

2x = 360° - 170°

2x = 190°

x = 190° / 2

x = 95°