Answer: The measure of angle 4 is 89. The value of x is 75.
Step-by-step explanation:
1. The interior angle of a triangle adds up to 180. so we know the measures of two of the angles M and N.
We will add the measure of M and N up to see what they equal.
52 + 39=91 which means a number need to be added so it equals 180.
52 + 39 + x =180 where x is the measure of angle 4.
we will solve for x and that is the measure of angle 4.
91 +x =180
-91 -91
x= 89
2.The measure of two remote interior angles needs to equal the alternate exterior angle.
The alternate exterior angle is 2x and the two remote interior angles are (x +14) and 62.
so you will use the equation 2x = x +13 +62
2x = x +13 +62 remember in every variable there is a number one in front of it.
2x = 1x + 75
-1x -1x
1x=75
x= 75
