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Could Someone Help Me Out I Put 30 Points Out!!!!! ASAP

Given:
Triangle DEF is a right triangle with the right angle at angle D.
Angle E has a measure of 3x-4.
Angle F has a measure of 6x – 5.

Prove: Angle E = 29 degrees.
Suggestion: Draw triangle DEF. Include the GIVEN measures for all 3 angles. This is not part of the grade for this assignment, but I suggest you do it to help yourself!

Scoring:
Solve the problem. Show each step used to solve. (2 pts)
List the final measures of all 3 angles in triangle DEF (2 pts)
Write the paragraph proof based off of your solution to the problem. (2 pts)

User Vu
by
7.8k points

1 Answer

6 votes
All angles on a triangle add up to 180. If it's a right triangle it would be set up like this: 90+3x-4=6x-5=180. You would subtract 90 from 180 and get 90 left. 3x-4+6x-5=90. Then you would add 5 and 4 to 90.....3x+6x=99. Then you add 3x and 6x then you would be left with 9x=99. Divide 99 by 9 and you get x=11.
User Rory Solley
by
8.1k points

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