contestada

A conjecture and the flowchart proof used to prove the conjecture are shown. Given: Measure of angle B C D equals 45 degrees. Prove: Triangle A C B is an obtuse triangle. Art: Triangle A B C. A ray passes through point D that extends horizontally right forming an exterior angle B C D. Drag an expression or phrase to each box to complete the proof.

A conjecture and the flowchart proof used to prove the conjecture are shown Given Measure of angle B C D equals 45 degrees Prove Triangle A C B is an obtuse tri class=
A conjecture and the flowchart proof used to prove the conjecture are shown Given Measure of angle B C D equals 45 degrees Prove Triangle A C B is an obtuse tri class=
A conjecture and the flowchart proof used to prove the conjecture are shown Given Measure of angle B C D equals 45 degrees Prove Triangle A C B is an obtuse tri class=

Respuesta :

Answer:

I did that yesterday

Step-by-step explanation:

Ver imagen ayang27
Ver imagen ayang27
MrRoyal

Conjectures are simply opinions derived from incomplete information.

Complete the blanks with the following statements

  1. Linear pair postulate
  2. Definition of supplementary angles
  3. [tex]\mathbf{m\angle ACB + 45 = 180^o}[/tex].
  4. Subtraction property
  5. [tex]\mathbf{m\angle ACB}[/tex] is obtuse.

The given parameter is:

[tex]\mathbf{m\angle BCD = 45^o}[/tex]

For two angles to be supplementary, the following must be true

  1. The angles must be adjacent angles (i.e. next to one another)
  2. They must add up to 180 degrees

So, the first two blanks would be completed using:

  1. Linear pair postulate
  2. Definition of supplementary angles

By substitution property, we can substitute [tex]\mathbf{m\angle BCD = 45^o}[/tex] in [tex]\mathbf{m\angle ACB + m\angle BCD = 180}[/tex]

So, the next blank will be completed with: [tex]\mathbf{m\angle ACB + 45 = 180}[/tex]

If 45 is subtracted from both sides of the equation, we get [tex]\mathbf{m\angle ACB = 135}[/tex]

So, the next blank will be completed with: Subtraction property of inequality

Angles that are between 90 and 180 degrees are obtuse angles.

Because [tex]\mathbf{m\angle ACB = 135}[/tex], the last blank will be completed with: [tex]\mathbf{m\angle ACB}[/tex] is obtuse.

See attachment for complete proof

Read more about mathematical conjectures at:

https://brainly.com/question/88568

Ver imagen MrRoyal

Otras preguntas