Question

(d) If mZABD=60°, and point C is in the interior of ABD, then mZABC=40° and m/CBD=20°. Counterexample: m ZABC = [], m2 CBD = "

Answer 1

The counter example: m∠ ABC = 35°, and m∠ CBD = 25°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. When two planes intersect each other will create an angle.

Point C is the interior of ABD.

The measure of angle ABD is 60°.

The measure of angle ABC is 40°.

The measure of angle CBD is 20°.

Now when we add the angle ABC and CBD:

∠ ABC + ∠ CBD = 40° + 20°

∠ ABC + ∠ CBD = 60°

∠ ABC + ∠ CBD = ∠ ABD

The counter-example will be:

∠ ABD = ∠ ABC + ∠ CBD

60° = 35° + 25°

Therefore,

∠ ABC = 35° and ∠ CBD = 25°

Learn more about angle here:

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