Answer:
x = -6
Step-by-step explanation:
The triangle in the picture is an isoceles triangle in which the measure of top vertex angle is given and one of the base angles is also given.
According to angle sum property of triangle , sum of measure of all the angles of traingle is 180°. Also, in isosceles triangle , the base angles are always equal to each other .
So,
[tex]34 + (x + 79) + (x + 79) = 180[/tex]
[tex] = > 2x + 158 + 34 = 180[/tex]
[tex] = > 2x +192 = 180[/tex]
[tex] = > 2x = 18 0 - 192 = - 12[/tex]
[tex] = > x = \frac{12}{ - 2} = - 6[/tex]
