The two triangles are similar.
The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45
We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70
Any two triangles that have all 3 angles congruent is similar by AAA.
Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126
Answer: Number 1
Step-by-step explanation:
Answer:
1. given
2. vertically opposite angles are equal
3. alternate angles on parallel lines P||q are equal
4. vertically opposite angles are equal
5. angle 1 = angle 3 (corresponding angles on parallel lines are equal)
angle 3=angle 4 (vertically opposite angles are equal)
therefore angle 1 = angle 4
Step-by-step explanation:
hope that helps :)
