Question

Another correction (Tried these on my own hand but got confused)

Answer 1

x = 40

x = 10

Explanation:

Problem 1

The sum of all angle measures in any triangle is (180) degrees. In this problem, one is given that one of the angle measures is (50) another is (x) and the final is (90) degrees. A general rule is that when an angle has a box around, its degree measure is 90 degrees. One can apply this here by stating the following,

x + 50 + 90 = 180

Simplify,

x + 140 = 180

Inverse operations,

x + 140 = 180

-140 -140

x = 40

Problem 2

The degree measure of a straight line is (180) degrees, the two given angles in this picture form a straight line. Thus, the sum of their angle measures is (180) degrees. Form an equation off of this information and solve for (x),

110 + 7x = 180

-110 -110

7x = 70

/7 /7

x = 10

Answer 2

Answer: Triangle: x = 40 Line: x = 10

Explanation:
All angles of a triangle adds up to 180. So x + 50 + 90 (the square box represents a 90° angle) = 180
Simplify: x + 140 = 180
So x = 40°

A straight line is 180°
so 7x+110=180
7x= 70
x=10