PLEASE HELPP MEEE WITHHH NUMBERSSS 9 AND 10

PLEASEEE HELPPP ME I NEED A GREAT EXPLANATION PLS

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

step-by-step explanation: