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Please help. Solve the value of x

Please Help Solve The Value Of X class=

Sagot :

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 :-

  • Value of x

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]