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A triangle has 2 congruent sides. The angle between the 2 congruent sides is labeled x. The angles opposite of the 2 congruent sides each measure 65 degrees.


Find the measure of x in the triangle. Show all your work.

Respuesta :

Answer:

Therefore,

Measure of x is 50°.

Step-by-step explanation:

Given:

Let name the Triangle as ΔABC,as shown in the Figure below ,such that

AB ≅ AC    ..... triangle has 2 congruent sides

∠A = x   .....angle between the 2 congruent sides is labeled x

∠B = ∠C = 65°  .....angles opposite of the congruent sides

To Find:

measure of x = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

[tex]\angle A+\angle B+\angle C=180\°[/tex]

Substituting the values we get

[tex]x+65 + 65 = 180\\\\x=180-130=50\°[/tex]

Therefore,

Measure of x is 50°.

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