Answer:
see below
Step-by-step explanation:
9. The sum of the angles of a triangle are 180.
The angles in the middle are vertical angles so they are equal. That means the two outer angles have to add to the same amount
60+45 = 67+?
105 = 67+?
Subtract 67 from each side
105- 67 = 67+? -67
38 = ?
10.The part of the angle that is missing in the top triangle we will call x
The sum of the angles of a triangle are 180
x+ 57+68 = 180
We can find x
x +125 = 180
x =55
We know the bottom triangle the top angle is 90-x since the two angles add to a right angle so 90-55 = 35
The bottom triangle has angles (35) ,75 , ? and will sum to 180
(35) + 75 + ? = 180
Combine like terms
110+ ? = 180
Subtract 110 from each side
110-110 + ? = 180-110
? = 70
