Question

Find the value of xxx in the triangle shown below.

Answer 1

Answer:

x = 74 deg

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Answer 2

Answer:

$\underline{\boxed{\sf x=74^o}}$

Step-by-step explanation:

The given triangle is in isosceles triangle because it has two congruent sides. Angles across from the congruent sides are also congruen, so the angle without a label measures x.

(3 angles in a triangle add up to 180°).

Equation:- $\sf x^o+x^o+32^o=180^o$

Let's solve for x:-

$\sf x+x+32=180$

$\sf 2x+32=180$ (Simplify)

$\sf 2x+32-32=180-32$ (Subtract)

$\sf 2x=148$

$\sf \dfrac{2x}{2} =\dfrac{148}{2}$ (Divide)

$\sf x=74^o$