Question

If anyone could do this it would be a great help!
I just need the answers

Answer 1

1) 2x + 3x - 10 + 50 = 180

5x = 180 - 50 + 10 = 140

x = 140/5 = 28°

2) 3x + 15 + 4x + 5 + x = 180

8x = 180 - 15 - 5 = 160

x = 160/8 = 20°

Angle A = 3 (20) + 15 = 60 + 15 = 75°

3) x + 3x + 5x = 180

9x = 180

x = 20°

4) 48 + 2x = 180

2x = 180 - 48 = 132

x = 132/2 = 66°

5) 110 + 6x + 8x = 180

14x = 180 - 110 = 70

x = 70/14 = 5°

Angle C = 8 * 5 = 40°

Image: Attached

Answer 2

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.