Question

Please help. Solve the value of x
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Answer 1

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°

⇒ $11x = 66$

⇒ $x = \frac{66}{11} = 6$