Question

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

Answer 1

The measure of the vertex angle of the isosceles Δ is 96°

Step-by-step explanation:

In the isosceles triangle

• Two sides are equal in lengths
• The angle between the two equal sides is called vertex angle
• The other two angles are called base angles
• The 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

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