Answer:
x = 112°
Step-by-step explanation:
Isosceles triangles always have 2 congruent base angles.
Working our way from right to left, we know the base angles are 17° each. Using the sum of interior angles of a triangle, we can find our 3rd angle.
180 - 17 - 17 = 146°
Now we can find the first base angle of the next triangle over because the 146 is part of a supplementary angle, meaning it will add up to 180.
180 - 146 = 34°
Since this is one of the base angles, label the other base and use the sum of interior angles of a triangle again.
180 - 34 - 34 = 112°
Another supplementary angle though this time it's formed from 3 angles.
180 - 112 - 17 = 51°
Label the other base and use the sum of interior angles of a triangle.
180 - 51 - 51 = 78°
3 angle supplementary angle.
180 - 78 - 34 = 68°
Label the other base. Since this is our last supplementary angle formed with only 2 angles, we can subtract 68 from 180 to get the value of x.
180 - 68 = 112°
Hope this helps~!
