The range of values for x would be 6 < x < 8.
Isosceles triangle:
- It is a triangle with two equal angles or two equal side.
- Angles opposite to the equal sides of an isosceles triangle are also equal.
- Angle bisector is perpendicular to the base in an isosceles triangle.
What is angle bisector?
"It is a ray/line that divides an angle into two equal parts."
From figure,
BD is perpendicular to the base AC.
Since BD is an angle bisector,
⇒ 4x - 8 = 20
⇒ 4x = 20 + 8
⇒ 4x = 28
⇒ x = 28/4
⇒ x = 7
Therefore, the range of the values for x would be,
6 < x < 8.
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