Question

Can someone help please and thanks

Answer 1

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