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Chapter 5: Q. 8 (page 200)

For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer. m鈭�1+m鈭�2=m鈭�__

Short Answer

Expert verified

The statement ism鈭�1+m鈭�2=m鈭�5.

Step by step solution

01

Step 1- Check the figure.

Consider the figure.

02

Step 2- Apply the concept of the exterior angle property.

In a triangle, the exterior angle is always equal to the sum of the interior opposite angle. This property is known as exterior angle property. Any two triangles will be similar if their corresponding angles tend to be congruent and length of their sides will be proportional.

03

Step 3- Step description.

Sinceexterior angle of triangle is sum of opposite interior angles thus the sum of angle 1 and 2 will be equal to angle 5.

Thus, the statement ism鈭�1+m鈭�2=m鈭�5 and the postulate is exterior angle property.

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Most popular questions from this chapter

For the following figure, if WR炉鈯�CE炉then name all segments congruent to WE炉.

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.

Give the reason for each step in the following proof of theorem 5-6

Given: m鈭�A=m鈭�C=x;m鈭�B=m鈭�D=y

Prove: ABCD is a parallelogram.

Proof:

In Exercise 4 quad. ABCD is a parallelogram. Find the values of x, y, and z.

Given: ABCD is a 鈻�,CD炉鈮�CE炉

Prove: 鈭�A鈮�鈭�E
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