Question

100 points: The diagram shown is two intersecting lines. The measure of <5 is 66°.

(a) What is the measure of <7 ? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of <6 can be represented by (4x + 2). What equation can be written to solve
for the value of x?
(c) What is the value of x?

Answer 1

Explanation:

(a)<7 is 66 degrees, because <7 and <5 are vertical angles.

(b) (4x + 2) + 66 = 180

(c) (4x + 2) + 66 = 180

4x + 2 = 114

4x = 112

x = 28

Answer 2

A: <5. 5 Matches <7. So whatever angle measure <5 is, that is what <7 is.

b: (4(<6)+2)

c: x=<45

Explanation:

C:180/4 = 45