Respuesta :
The measures of the other two angles of an acute isosceles triangle are 51° and 51°
What is acute isosceles triangle?
"It is a triangle in which all three angles are less than 90 degrees and at least two of its angles are equal in measurement."
For given example,
a vertex angle measuring 78 degrees
We know, the base angles of an acute isosceles triangle are equal.
Let 'x' be the measure of base angle of an acute isosceles triangle
We know that the sum of all angles of the triangle is 180°
⇒ x + x + 78 = 180
⇒ 2x = 102
⇒ x = 102/2
⇒ x = 51°
Therefore, the measures of the other two angles of an acute isosceles triangle are 51° and 51°
Learn more about an acute isosceles triangle here:
https://brainly.com/question/24371813
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