Question

Drag a statement or reason to each box to complete this proof. Given: the measure of angle A B D equals 60 degrees. The measure of angle D B C equals 40 degrees. Prove: triangle A B C is an obtuse triangle. Art: triangle A B C with horizontal base B C is drawn. A bisector B D is drawn on A C. The bisector divides A C into two parts A D and D C. Statements Reasons 1. m∠ABD=60°, m∠DBC=40° Given 2. m∠ABD+m∠DBC=m∠ABC 3. Substitution Property of Equality 4. Simplifying 5. ∠ABC is an obtuse angle. 6. △ABC is an obtuse triangle. Definition of obtuse triangle

Answer 1

Answer:

Step-by-step explanation:

Our aim is to justify the given statement.

• Our first statement is given, m∠ACD=60°.

• The second line, ∠ACD and ∠ACB are supplementary, is justified by Linear Pair Postulate.

• In third position, m∠ACD+m∠ACB=180°, is because of the Definition of supplementary angles.

• In 4th place, 60°+m∠ACB=180° is justified by Substitution property of equality.

• In 5th place, m∠ACB=120°, is given because of the Subtraction Property of Equality.

• In 6th, by the Definition of obtuse angle, we get that ∠ACB is an obtuse angle.

• By the definition of obtuse triangle we get that △ABC is an obtuse triangle, this is our last one.

I hope this helps your studies! Keep it up!!

Answer 2

Answer:I don't know the answer but you can download this app called Photomath that takes pictures of your homework and gives you an answer and explanation

Step-by-step explanation: