Question

Find the value of x. Show all work.

Answer 1

Answer:

Answer and Step-by-step explanation:

We are given an isosceles triangle, shown by the fact that there are two red marks on two sides, indicating that the sides are congruent in length, which means the base angles are congruent as well.

Add the angles together and equal it to 180.

34 + x + 81 + x + 81 = 180

Simplify.

115 + 2x = 180

Subtract 115 from both sides of the equation.

2x = 65

Divide both sides of the equation by 2.

x = 32.5 is the answer.

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Step-by-step explanation:

Answer 2

Answer:

x = -8°

Step-by-step explanation:

Angle 2

Since the triangle is isosceles, Angle 2 is the same as the missing angle

So angle 2 would be:

180 - 34 = 2(angle 2)

So 146 = 2(x + 81)

146 = 2x + 162

146 - 2x = 162

-2x = 16

x = -8

Check

146 = 2(-8+81)

146 = 2(73)

146 = 146

Correct!

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