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turkeyrl7436

Answer:

96

Step-by-step explanation:

For those of you who have an 84 angle for angle D and E isosceles trapezoid the base legs will be equal due to the congruent legs, all of the interior angles of a trapezoid will add up to 360, D and E equal 84, 360-84-84 would be 192, now since the base angles are equal due to the congruent legs 192/2 would be 96. Angles B and C are 96.

The external angles of a triangle are those created outside of it. The measure of ∠CBD is 132°.

What is an exterior angle?

The external angles of a triangle are those created outside of it. In other terms, a triangle's external angle is the angle produced between one of its sides and its neighbouring extended side.

The diagram for the given condition can be made as shown below.

In a triangle, the sum of two interior angles is equal to the exterior angle for the angle which is left. Therefore, the measure of ∠CBD can be written as,

∠CBD = ∠BAC + ∠BCA

∠CBD = 43° + 89°

∠CBD = 132°

Hence, the measure of ∠CBD is 132°.

The complete question is:

Triangle ABC with the measure of ∠A equal to 43° and the measure of ∠C equal to 89°. Ray AD passes through point B, creating external angle CBD.

Based on the information provided, what is the measure of ∠CBD?

m∠CBD =__________.

Learn more about Exterior Angle:

https://brainly.com/question/2406986

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