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:

Part 1) Option C. Same side interior angles

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

Part 3) Option B. $m<5=77\°$

Step-by-step 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

$m<5=(2(33)+11)=77\°$

Answer 2

Answer: C, A, B

Step-by-step explanation: