Question

Please help will give brainliest


A conjecture and the flowchart proof used to prove the conjecture are shown.




Given: Measure of angle D E G equals 51 degrees. Measure of angle G E F equals 39 degrees. Prove: Triangle D E F is a right triangle. Art: A right angle triangle D E F. Angle D E F is a right angle. Point G is on segment D F, and segment E G is drawn.




Drag an expression or phrase to each box to complete the proof.

Answer 1

box number one: given

box number two: angle addition postulate

box number three: 51 degrees + 39 degrees = m DEF

box number four: 90 degrees = m DEF

box number five: DEF is a right angle

box number six: definition of a right triangle

just took the test and these are the correct answers, hope i helped :)

Answer 2

Solution:

Given : ∠ D E G= 51°, ∠GEF=39°

To prove: Δ D E F is a right triangle.

Proof:

A right angle triangle D E F.

∠ D E F =90°.

Point G is on segment D F, and segment E G is drawn.

Now, taking ∠DEG and ∠GEF into consideration,

∠DEG=51° and ∠GEF=39°→→(Given)

∠DEG + ∠GEF =

∠DEF=51° + 39°

∠DEF=90°,showing Triangle D E F is a right triangle.