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slavikrds [6]
3 years ago
11

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

Mathematics
2 answers:
Vaselesa [24]3 years ago
5 0

Answer:

Givens

m\angle  ABD=43\°\\m\angle DBC=47\°

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

Now, by sum of angles, we know

m\angle ABC = m\angle ABD + m\angle DBC

By given we know that

m\angle  ABD=43\°\\m\angle DBC=47\°

Replacing these values, we have

m\angle ABC = 43\°+ 47\°=90\°

Then, \angle ABC is a right angle by definition.

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

boyakko [2]3 years ago
4 0

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.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

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