Question

Find the missing angle:

Answer 1

Answer:

40

Step-by-step explanation:

Going from left to right

We need to find the angle from the first triangle

The sum of the angles of a triangle is 180

80+25+x = 180

Combine like terms

105+ x = 180

Subtract 105 from each side

105-105+x = 180-105

x = 75

Then we have 3 angles that make a straight line and a straight line is 180

x + 50 + y = 180

75+ 50 + y = 180

Combine like terms

125 + y = 180

Subtract 125 from each side

125-125+y = 180-125

y = 55

We now have the triangle on the right

The angles add to 180

55+85+ ? = 180

Combine like terms

140+ ? = 180

Subtract 140 from each side

140+?  - 140 = 180-140

? = 40