Answer:
Step-by-step explanation:
Find the Supplement to 101
Supplementary angles = 180 degrees
180 = 101 + unknown Subtract 101 from 180
unknown = 79
Because the upper triangle is marked as having 2 equal sides, the left angle is also 79 degrees,
Now the vertex angle is 79 + 79 + y = 180 All triangles have 180 degrees
158 + y = 180 Subtract 158 from both sides
y = 180 - 158
y = 22
y is vertically opposite the vertex angle of the lower triangle. Both the sides are marked as equal, so the angles opposite them are equal as well.
x + x + 22 = 180 Combine
2x + 22 = 180 Subtract 22 from both sides.
2x = 180 - 22
2x = 158 Divide by 2
x = 158/2
x = 79
