Question

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °

Answer 1

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Answers:

1) same side interior angles

2) (3x+4)+(2x+11) = 180

3) 77

Answer 2

Answer:

Part a) consecutive interior angles

Part b) $(3x+4)\°+(2x+11)\°=180\°$

Part c) m∠5=$77\°$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Part a) Angles 3 and 5 are consecutive interior angles

therefore

m∠3+m∠5=$180\°$

Part b) we have

m∠3=$(3x+4)\°$

m∠5=$(2x+11)\°$

substitute

$(3x+4)\°+(2x+11)\°=180\°$

Part c) solve for x

$(5x+15)\°=180\°$

$5x=180\°-15\°$

$x=180\°-15\°=33\°$

Find the value of m∠5

m∠5=$(2(33)+11)\°$

m∠5=$77\°$