Question

May somebody help me please .

Answer 1

An outside angle is equal to the sum of the two opposite inside angles.

This means 150 = x + (x+20)

Now solve for X:

150 = x + x+20

simplify:

150 = 2x+20

Subtract 20 from each side:

130 = 2x

Divide both sides by 2:

x = 130/2

x = 65

Now we have X = 65

Solve for the other angle with x in it, by replacing x with 65:

x = 20 = 65 +20 = 85

The three inside angles of a triangle need to equal 180 so now we can solve for Z:

z = 180 - 65 - 85 =  30 degrees.

X = 65, Z = 30