Question

What is the measure of angle x?

Answer 1

The angle next to the 96-degree angle has measure 180-96 = 84

becuase those 2 angles make up a straight line; they are supplementary angles

Answer 2

The angle opposite the 35-degree angle is also 35 degrees, becuase they are vertical angles.

Agree??

Answer 3

yes

Answer 4

So your 3 inside angles of the triangle are called, 84, 35, and x.

Write an equation to find x.

Answer 5

61?

Answer 6

yes

Answer 7

Your equation: 84 + 35 + x = 180

Answer 8

thanks! i have one more question!

Answer 9

You're welcome.

Answer 10

whats the question?

Answer 11

What is the measure of angle ADB?

Answer 12

First, angle ABD = 31. Agree? Why?

Answer 13

because they are vertical angles

Answer 14

What do we call angles ABD and ADC?

Answer 15

They are NOT vertical angles.

Answer 16

Angles 1 and 2 are called vertical angles...opposite each other.

Answer 17

alternate entirior angles?

Answer 18

yes, alternate interior angles..so they are equal

Answer 19

So angle ABD = 31

Answer 20

so what is ADB?

Answer 21

yes. but whats adb?

Answer 22

77!

Answer 23

Look at triangle ABD...you now know 2 of the 3 angles..you know one of them is 72 and the other is 31. you are looking for ADB, the 3rd angle of the triangle. So whats the answer?

Answer 24

77

Answer 25

77 is correct. Makes sense?

Answer 26

yes!

Answer 27

Great!