Question

Mathematics need help with this paper

Answer 1

Answer:

5. x = 39°

6. x = 46°

7. x = 24°

8. x = 19°

Step-by-step explanation:

5.

Base angles are the same due to it being an isosceles triangle

Sum of angles in triangle = 180°

• 2x + 2x + (x - 15) = 180
• 4x + x - 15 = 180
• 5x - 15 = 180
• 5x = 195
• x = 39

6.

Angle VZW and XZW are supplementary, meaning that they add up to 180°

• 3x + 17 + (x - 9) = 180
• 3x + 17 + x - 9 = 180
• 4x + 8 = 180
• 4x = 184
• x = 46°

7.

Sum of angles in a straight line add up to 180°

• (2x - 4) + (3x + 5) + (2x + 11) = 180
• 2x - 4 + 3x + 5 + 2x + 11 = 180
• 7x + 12 = 180
• 7x = 168
• x = 24

8.

All angles add up to 90°

• x + (x + 4) + (3x - 9) = 90
• x + x + 4 + 3x - 9 = 90
• 5x - 5 = 90
• 5x = 95
• x = 19

-Chetan K