The value of x is 44°.
Step-by-step explanation:
Step 1:
The sum of the angles in a triangle is equal to 180°.
The sum of the angles along a straight line is 180°.
The two given angles of the triangle are 14° and 30°.
Assume the third angle is a.
The sum of 14°, 30° and a is 180°.
[tex]14+30+a=180.[/tex]
[tex]a = 180-44 = 136.[/tex]
So the third angle of the triangle is 136°.
Step 2:
The sum of the angles along a straight line is 180°.
The sum of the angle of the triangle, 136° and x is 180°.
[tex]136+x=180.[/tex]
[tex]x = 180- 136 = 44.[/tex]
So x measures 44°.
