Question

M<3 is (3x + 4) and m<5 is (2x +11)

Angles 3 and 5 are _____
A. Alternate interior angles
B. Corresponding angles
C. Same side interior angles
D. Alternate exterior angles

The equation ___ can be used to solve for x.
A. (3x+4) + (2x+11) = 180
B. (3x+4) = (2x+11)
C. (3x+4) - (2x+11) = 180

m<5= __
A. 33
B. 77
C. 103

Answer 1

Answer: C, A, B

Explanation:

Answer 2

Part 1) Option C. Same side interior angles

Part 2) Option A.
`(3x+4)+(2x+11)=180\°`

Part 3) Option B.
`m<5=77\°`

Explanation:

Part 1) we know that

If p and q are parallel

then

m<3 and m<5 are consecutive interior angles or Same side interior angles

and

`m<3+m<5=180\°`

Part 2) we know that

`m<3+m<5=180\°` -----> by consecutive interior angles (supplementary angles)

we have that

`m<3=(3x+4)`

`m<5=(2x+11)`

so

substitute

`(3x+4)+(2x+11)=180\°`

Part 3) Find the measure of angle 5

we know that

`(3x+4)+(2x+11)=180\°`

Solve for x

`5x+15\°=180\°`

`5x=180\°-15\°`

`x=165\°/5\°=33\°`

`m<5=(2x+11)`

substitute the value of x

`m<5=(2(33)+11)=77\°`