Answer:
Step-by-step explanation:
1) The sum of the angles in a triangle is 180 degrees. Therefore,
50 + 2x + 3x - 10 = 180
50 - 10 + 2x + 3x = 180
5x + 40 = 180
5x = 180 - 40 = 140
x = 140/5 = 28
2) 3x + 15 + 4x + 5 + x = 180
8x + 20 = 180
8x = 180 - 20 = 160
x = 160/8 = 20
3) 3x + 5x + x = 180
9x = 180
x = 180/9 = 20
4) The triangle is an isosceles triangle. The base angles are equal. Therefore,
x + x + 48 = 180
2x = 180 - 48 = 132
x = 132/2 = 66
5) 110 + 6x + 8x = 180
14x = 180 - 110 = 70
x = 70/14 = 5
The measure of angle C is
8 × 5 = 40
The image of the scalene triangle is shown in the attached photo.
