Respuesta :

angleA+angle B+angle C=180°
88+2angleB=180°
2angleB=180°-88°
2angleB=92°
angle B=46 °=angle C

The measure of the angles of the isosceles triangle is 46° each.

How to find the value of base angle in an isosceles triangle -

Given the vertex angle of the isosceles triangle is 88°.

For isosceles triangle, we know that the other two base angles are always equal because the adjacent sides are equal in any isosceles triangle .

Let the base angle of the isosceles triangle be Ф° each .

We know that the sum of all the interior angles of the triangle is always 180 °.

Thus we have Ф° + Ф° + 88° = 180°

⇒ 2Ф° = 180° - 88°

∴  Ф = 92°/2 = 46°

Therefore the base angles of the isosceles triangle are 46° each.

To learn more about isosceles triangle, refer -

https://brainly.com/question/3161559

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