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PLEASE HELP ME 100!!! POINTS A conjecture and the flowchart proof used to prove the conjecture are shown.

Given: m∠ABD=43°

m∠DBC=47°

Prove: △ABC is a right triangle.

PLEASE HELP ME 100 POINTS A conjecture and the flowchart proof used to prove the conjecture are shown Given mABD43 mDBC47 Prove ABC is a right triangle class=

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Answer:

Add the two angles: 43° + 47° = 90°.

Step-by-step explanation:

A right triangle has an angle that equals 90°. Complementary angles equal 90°. Therefore, if you add these two angles, you will know whether or not △ABC is a right triangle. Triangle △ABC is broken up into two angles, m∠ABD and m∠DBC. When the measures m∠ABD and m∠DBC are added together, they equal 90°, and thus, form a complementary angle.

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Ver imagen DreamyboatSC

Answer:

Givens

[tex]m\angle ABD=43\°\\m\angle DBC=47\°[/tex]

To probe [tex]\triangle ABC[/tex] is a right triangle, we have to demonstrate that the vertex B holds a right angle, that is [tex]m\angle ABC = 90\°[/tex]

Now, by sum of angles, we know

[tex]m\angle ABC = m\angle ABD + m\angle DBC[/tex]

By given we know that

[tex]m\angle ABD=43\°\\m\angle DBC=47\°[/tex]

Replacing these values, we have

[tex]m\angle ABC = 43\°+ 47\°=90\°[/tex]

Then, [tex]\angle ABC[/tex] is a right angle by definition.

Finally, [tex]\triangle ABC[/tex] is a right triangle by definition, with right angle at vertex B.

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