Answer: First question answer is 77 degrees and the other is 66 degrees
Q.1) E and C can be said as a straight line and we all know that a straight line is 180 degrees. So, at point B we can:
180-146 to find the smaller angle which is 34 degrees.
Now if you carefully spectate the diagram then a red triangle forms in the middle. We all know that if we add the 3 sides of the triangle then it results 180 degree. That is why we found out the other angle in point B so that we place it as a formula and find the missing angle of the triangle which is:
34 + 43 + the other angle = 180
77 + other angle = 180
other angle = 180-77
The other angle = 103 degrees
Now back to the same straight line theory that i mentioned at first:
103 + m = 180
m = 180-103
m = 77 degrees (First question/diagram)
Q.2) Straight line theory again to find both the base angles of the triangle BCA . . .
Point B: 180 - 128 which is 52 degrees
Point A: 180 - 118 which is 62 degrees
So the 180 degree, all 3 angles of the triangle theory:
62 + 52 + the missing angle of the triangle = 180
114 + missing angle of triangle = 180
The remaining angle = 180-114
The remaining angle inside triangle = 66 degrees
Now there is another theory that if two straight lines intersect, the opposite angles are equal. This is probably the vertical angle theorem.
So according to the theory, if the interior triangle angle is 66 degrees then the opposite angle to it (Angle FCG) will also be equal which is 66 degrees as well.
Sorry for making it too long... Hope it helps! And if so then brainliest pweaseee! <3 ~ ~ ~ ~ ~
