Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

find the measures of angles of triangle DEF

Find The Measures Of Angles Of Triangle DEF class=

Sagot :

rose5656

Answer:

Angle E = 90°

Angle D= 55°

Angle F = 35°

Sum of all the angles of a triangle = 180° ( angle sum property).

Angle D + Angle E + Angle F = 180°

8x - 1 + 5x + 90° = 180°

8x + 5x + 89 = 180

13x = 180 - 89

13x = 91

x = 7.

Angle D = 8x - 1

= 8(7)-1

= 56 - 1

= 55

Angle E = 90° ( given)

Angle F = 5x

= 5 * 7

= 35

Answer:

m∠E: 90°

m∠D: 55°

m∠F: 35°

Step-by-step explanation:

Since the interior angles of a right triangle sum up to 180°, the sum of angles D, E, F will equal 180°. We can then form an equation from that information.

[tex]90+(8x-1)+5x=180\\13x-1=90\\13x=91\\x=7[/tex]

From this, we can plug in the variable.

[tex]mE=90\\mD=55\\mF=35[/tex]

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.