1. x = 32° 2. x = 23° 3. x = 30°
1. the third angle in the triangle = 180° - 122° → ( straight angle) =58°
The sum of the 3 angles in a triangle = 180°
x = 180° - (90 + 58)° = 32°
2. the third angle in the triangle = 180° - 100° = 80°
2x + 3 + 80 + 51 = 180 → ( sum of angles in triangle)
2x + 134 = 180
2x = 180 - 134 = 46 ⇒ x = 23
3. there are 2 straight angles
180° - 132° = 48° and 180° - 112° = 68°
2x + 4 + 48 + 68 = 180 → ( sum of angles in triangle)
2x + 120 = 180
2x = 180 - 120 = 60 ⇒ x = 30