Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

What is the measure of angle D if angle F is 110 and angle E is 100?

What Is The Measure Of Angle D If Angle F Is 110 And Angle E Is 100 class=

Sagot :

F, E and D are exterior angles.

Exterior angles and corresponding interior angles are suppementary (they add up to 180°)

Use F to find the meaure of C:

[tex]\begin{gathered} F+C=180 \\ C=180-F \\ C=180-110 \\ C=70 \end{gathered}[/tex]

Use E to find the measure of B:

[tex]\begin{gathered} E+B=180 \\ B=180-E \\ B=180-100 \\ B=80 \end{gathered}[/tex]

The sum of the interiror angles of any triangle is 180°.

Use B and C to find the meaure of A:

[tex]\begin{gathered} A+B+C=180 \\ A=180-B-C \\ A=180-80-70 \\ A=30 \end{gathered}[/tex]

Use A to find the meaure of D:

[tex]\begin{gathered} A+D=180 \\ D=180-A \\ D=180-30 \\ D=150 \end{gathered}[/tex]Then, the measure of angle D is 150°
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.