Question

Please help me find the missing angles I am giving 66 points (the max amount)

Answer 1

7. 20°

8. 20°

9. 20°

10. 35°

Explanation:

We know that the sum of all the angles in a triangle is equal to 180.

Thus, for each problem, we simply set all the angles equal to 180 and solve for x.

Then, we plug in the value we find for x in the angle equation.

(7.):

`90+70+x+32=180\\192+x=180\\x=-12\\\\Angle =-12+32=20`

(8.):

`90+70+4x=180\\160+4x=180\\4x=20\\x=5\\\\Angle=4*5=20`

(9.):

`90+70+x+25=180\\185+x=180\\x=-5\\\\Angle=-5+25=20`

(10.):

`90+55+4x+3=180\\148+4x=180\\4x=32\\x=8\\\\Angle=4(8)+3=35`