Answer:
x = 6
Step-by-step explanation:
GIVEN :-
- An isosceles triangle with one side extended.
- Measure of one base angle = 66°
- Measure of another base angle = m∠2 = 11x°
TO FIND :-
FACTS TO KNOW BEFORE SOLVING :-
- An isosceles triangle has 2 equal sides (known as legs) & the third side (known as base).
- The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles.
- In an isosceles triangle , base angles are equal in measure.
PROCEDURE :-
As it's an isosceles triangle , it's base angles are equal .
So, m∠2 = 66°
⇒ [tex]11x = 66[/tex]
⇒ [tex]x = \frac{66}{11} = 6[/tex]
