Question: Identify the correct justification for each step, given that AC intersects BE, mZAFE = 40 and m/CFD = 50 D C E F B A

Identify the correct justification for each step, given that AC intersects BE, mZAFE = 40 and m/CFD = 50 D C E F B A It is given that AC intersects BE. By the LAFE and ZBFC are vertical Z's. By the LAFE ~ ZBFC. By the mZAFE = m/BFC. It is given that m_AFE = 40. So, m/BFC = 40 by the By the m/BFD =m/BFC +m/CFD. It is given that m/CFD = 50 . So, m/BFD = 40 + 50 by the Simplify to get m/BFD = 90 . Thus, ZBFD is a right _ byIt is given that AC intersects BE. By the definition of vertical s, ZAFE and ZBFC are vertical _'s. By the Vertical Z's Thm., LAFE~ ZBFC. By the definition of ~ Zs, mZAFE=m/BFC. It is given that mZAFE = 40 . So, m/BFC = 40 by the Subst. Property of =. By the _ Addition Post. m/BFD =m/BFC +m/CFD. It is given that m/CFD -50. So, myBFD = 40* + 50 by the Subst. Property of =. Simplify to get m/BFD = 90. Thus, /BFD is a right _ by the definition of right Zs.It is given that AC intersects BE. By the definition of vertical Zs, ZAFE and ZBFC are vertical _'s. By the Vertical Z's Thm., LAFE~ ZBFC. By the definition of vert Zs, mZAFE =m/BFC. It is given that mZAFE = 40 . So, m/BFC = 40 by the Subst. Property of =. By the _ Addition Post. m/BFD =m/BFC +m/CFD. It is given that m/CFD = 50. So, myBFD = 40* + 50* by the Subst. Property of =. Simplify to get m/BFD =90. Thus, ZBFD is a right _ by the definition of comp. Z's.It is given that AC intersects BE. By the definition of vertical Zs, ZAFE and ZBFC are vertical _s. By the definition of LAFE~ ZBFC. By the definition of ~ Zs, mZAFE =m/BFC. It is given that mZAFE = 40. So, m/BFC = 40 by the Subst. Property of =. By the defintion of supp. Zs, m/BFD=m/BFC +m/CFD. It is given that m_CFD = 50*. So, myBFD = 40* + 50 by the Subst. Property of =. Simplify to get m/BFD =90. Thus, /BFD is a right _ by the definition of comp. /s.It is given that AC intersects BE. By the definition of vertical Zs, ZAFE and ZBFC are vertical _'s. By the definition of ~ , LAFE~ ZBFC. By the definition of ~ Zs, mZAFE =m/BFC. It is given that mZAFE = 40 . So, m/BFC = 40 by the Trans. Property of ~ . By the defintion of supp. Zs, m/BFD =m/BFC+mZCFD. It is given that m/CFD = 50*. So, myBFD = 40* +50 by the Add. Property of =. Simplify to get m/BFD =90*. Thus, ZBFD is a right _ by the definition of right Zs

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1. Identify the correct justification for each step, given that AC intersects BE, m/AFE = 40* and m/CFD =50%. C E F B A It is given that AC intersects BE. By the LAFE and ZBFC are vertical _ s. By...

Identify the correct justification for each step, given that AC intersects BE , mAFE=40 and mCFD=50 . The figure shows two lines A C and B E. These lines intersect at point F. Ray F D separates angle...

Number 1. It is given that AC intersects BE. By the definition of vertical /s, ZAFE and /BFC are vertical /s. By the Vertical /s Thm., LAFE ~ /BFC. By the definition of vert /s, m/AFE=m/BFC. It is...

1. True or False. Justify for full credit. (a) A is an event, and Ac is the complement of A, then P(A AND Ac ) = 0. (b) If the variance of a data set is 0, then all the observations in this data set...

Calculatingmeasures of position of grouped data.help me please. The references is on what is it the yalu as of lower that follOWsWrite'yo 2;th '3'on your answer sheet. Filled. In (cf) and answer the...

Hey I have an audit case that I was wondering if you can help me with. You have helped me in the past. I was hoping if 25 would be fine. Please let me know. I have uploaded the files that are...

Number 1. (the filled in answer is only a guess) Solve the equation. Write a justification for each step. -3(-1-2) = 51-9 O 3[-1-2) =5x-9 Given 3x - 2 = 51-9 Distribprop. of = 2 = 2x - 9 Subt. Prop....

I need chapters 18, 19, 20, and 21 for the workbook for Personal Finance by Madura!! Please help!!! Personal Finance, Fifth Edition by Jeff Madura BUILDING YOUR OWN FINANCIAL PLAN WORKBOOK INDEX...

A family borrowed $72,000 to buy a house. The loan was at 7.1%and for 25 years. The monthly payments were $513.48 each. (SeeExample 6.) (a) How much of the first month's payment was interest,and how...

During 2009, Federal Express reported the following information (in millions): net sales of $35,497 and net income of $98. Its balance sheet also showed total assets at the beginning of the year of...

The Woods Compary and the Koepka Compary have both announced IPOs at $ 4 8 per share. One of these is undervalued by $ 1 3 . 0 0 , and the other is overvalued by $ 6 . 2 5 , but you here no way of...

A company issues 1,050 shares of its common stock for $33,600 cash. Prepare journal entries to record this event under each of the following separate situations.