Q:

what is the measure of the vertex angle of an isosceles triangle i’d one of its base angles measures 42°

Accepted Solution

A:
The measure of the vertex angle of the isosceles Δ is 96°Step-by-step explanation:In the isosceles triangleTwo sides are equal in lengthsThe angle between the two equal sides is called vertex angleThe other two angles are called base anglesThe base angles are equal in measure∵ The measure of one of the base angles of an isosceles Δ = 42°- The base angles are equal in measure∴ The measure of the other base angle = 42°∵ The sum of the measures of the interior angles of any Δ = 180°∴ 42 + 42 + measure of the vertex angle = 180∴ 84 + measure of the vertex angle = 180- Subtract 84 from both sides∴ measure of the vertex angle = 96°The measure of the vertex angle of the isosceles Δ is 96°Learn more:You can learn more about the triangles in brainly.com/question/6530759#LearnwithBrainly