Question

in the following figure find x​

Answer 1

Given::

Find the value of x

Answer::

By using, Angles on a straight line = 180°

First Figure :

• 62 + x = 180°
• x = 180 - 62
• x = 118° ans

Second Figure :

• (2x+1) + (x+2) = 180°
• 2x + 1 + x + 2 = 180°
• 3x + 3 = 180°
• 3x = 180 - 3
• 3x = 177°
• x = 177/3
• x = 59° ans

Third Figure :

• x + 2x + 3x + 4x = 180°
• 10x = 180°
• x = 180/10
• x = 18°

Forth Figure :

• (3x+10) + (2x-40) = 180°
• 3x + 10 + 2x - 40 = 180°
• 3x + 10 + 2x = 180° + 40°
• 3x + 10 + 2x = 220°
• 3x + 2x = 220° - 10°
• 3x + 2x = 210°
• 5x = 210°
• x = 210/5
• x = 42° ans

By using, Angles around a point = 360°

Fifth Figure :

• 35 + 145 + 72 + x = 360°
• 252 + x = 360°
• x = 360° - 252°
• x = 108° ans

Hope it helps