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22 days ago

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 = °

Mathematics

2 answers:

zzz [9K]22 days ago

7 0

I recently completed this question!

Here are the answers:

1) same side interior angles

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

3) 77

Leona [9.2K]22 days ago

5 0

Answer:

Part a) consecutive interior angles

Part b) $(3x+4)\°+(2x+11)\°=180\°$

Part c) m∠5= $77\°$

Step-by-step explanation:

refer to the attached image for a clearer understanding of the issue

it is known that

Part a) Angles 3 and 5 are classified as consecutive interior angles

thus

m∠3+m∠5= $180\°$

Part b) we find

m∠3= $(3x+4)\°$

m∠5= $(2x+11)\°$

now substitute

$(3x+4)\°+(2x+11)\°=180\°$

Part c) determine the value of x

$(5x+15)\°=180\°$

$5x=180\°-15\°$

$x=180\°-15\°=33\°$

Calculate m∠5

m∠5= $(2(33)+11)\°$

m∠5= $77\°$

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