Question

10 POINTS A QUESTION!

Answer 1

For the first triangle the sum of angles in any given triangle is equal to 180 degrees.

The equation for the first triangle would be: 60+80+x+51= 180

Solving it we get: 191+x=180
x=-11.

The second triangle’s equation is: 90+45+52+x= 180

Solving it we get: 187+x=180
x=-7

The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.

Solving it we get: 12.2 (rounding)
x=about 12.2

For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)

Solving it we get: 11x=110
x=10.

Hope this helps! ( and if you can please give brainliest, it would mean a lot!)

Answer 2

Answer:

• 4) x = -11
• 5) x = -7
• 6) x = 12
• 7) x = 10

Step-by-step explanation:

4.

(x + 51) + 60 + 80 = 180

x + 51 + 60 + 80 = 180

x + 191 = 180

x = 180 - 191

x = -11

5.

45 + (52 + x) + 90 = 180

45 + 52 + x + 90 = 180

187 + x = 180

x = 180 - 187

x = -7

6.

53 + (4 + 7x) + 39 = 180

53 + 4 + 7x + 39 = 180

96 + 7x = 180

7x = 180 - 96

7x = 84

$x = \frac{84}{7} \\ \\ x = 12$

7.

(6x - 5) + 5x + 75 = 180

6x - 5 + 5x + 75 = 180

11x + 70 = 180

11x = 180 - 70

11x = 110

$x = \frac{110}{11} \\ \\ x = 10$