Answer:
Step-by-step explanation:
2a the answer is 50
we know that the sum of angles in a triangle is 180, so we do 180-90-40 to find the missing angle because two of the angle measurements are already given.
2b the answer is 76
we know that the sum of angles in a triangle is 180, so we do 180-52-52 to find the missing angle because two of the angle measurements are already given.
2c the answer is 36
we know that the sum of angles in a triangle is 180, so we do 180-126-18 to find the missing angle because two of the angle measurements are already given.
3a the answer is 134
we know that the measure of an exterior angle is the sum of the two remote interior angles, so we do 61+73
3b the answer is 126
we know that the measure of an exterior angle is the sum of the two remote interior angles, so we do 90+36
3c the answer is 92
we know that the measure of an exterior angle is the sum of the two remote interior angles, so we do 48+46
the last one, the answer is 105
to find the measure of an angle is a regular polygon, use the formula
((n-2)*180)/n n = the number of sides
we use this to find the angle measure of the octagon, and we get 135
we use this same formula to find the angle measure of the hexagon, and we get 120
add both of those up 120+135 = 255
then subtract that from 360 because the 360-255 = 105
