The question provides the measures of two angles, (one of which contains
a variable), and the relationship between the angles.
The value of x is 6 degrees
Reason:
The given parameters are;
The base angles of the isosceles triangles are; 61° and (7·x + 19)°
Required:
To find the value of x
Solution:
By definition of an isosceles triangle, we have;
The base angles of an isosceles triangle are equal, therefore;
(7·x + 19) = 61
Which gives;
[tex]x = \dfrac{61 - 19}{7} = 6[/tex]
The value of x = 6
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