Respuesta :

Answer:

x = 46°

Step-by-step explanation:

Since 2 legs of the triangle are congruent, then the triangle is isosceles with the 2 base angle congruent , then

x = [tex]\frac{180-88}{2}[/tex] = [tex]\frac{92}{2}[/tex] = 46°

MrRoyal

The given triangle is an isosceles triangle, where two sides and two angles are congruent.

The value of x is 46 degrees

Because the triangle is isosceles, and the base angles are x.

The following equation can be used to solve for x

[tex]x + x + 88 = 180[/tex] --- sum of angles in a triangle

So, we have:

[tex]2x + 88 = 180[/tex]

Collect like terms

[tex]2x =- 88 + 180[/tex]

[tex]2x =92[/tex]

Divide both sides by 2

[tex]x =46[/tex]

Hence, the measure of x is [tex]46^o[/tex]

Read more about isosceles triangles at:

https://brainly.com/question/16719933

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