Question

100 POINTS!!! please hurry!!!! A side of the triangle below has been extended to form an exterior angle of 148°. Find the value of x.

Answer 1

Note that:

• x + 90 + (180 - 148) = 180

Solve the equation to find x (Bottom left angle).

• x + 90 + (180 - 148) = 180
• => x + 90 + (32) = 180
• => x + 122 = 180
• => x = 180 - 122
• => x = 58°

Answer 2

x = 58°

Find the missing top angle:

180° - 148°

32°

Then find x:

x + 32° + 90° = 180°

x + 122° = 180°

x = 180° - 122°

x = 58°

• note 1: total interior angle of a triangle sum up to 180°
• note 2: a straight line has 180°