Answer:
38 degrees, see below :)
Step-by-step explanation:
Hello! :)
So, we can use the Base Angles theorem to say the angle with 62 degrees is equal to angle 1.
Now we know angle 1 = 62 degrees.
Next, we can use the exterior angles theorem to say that angle 3 is the sum of the remote interior angles of the triangle so:
angle 3 = 62 + angle 1
= 62 + 62
= 124
Now we know angle 3 = 124 degrees
We can find angle 4 by subtracting 18 degrees and angle 3 from 180 degrees because we know that they all have to add up to 180 so:
angle 4 = 180 - (18 + 124)
= 180 - 142
= 38 degrees.
