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stiv31
2 months ago
15

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 [12.3K]2 months 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 [12.6K]2 months 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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