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3 years ago

∠TUV and ∠MNO are supplementary. m∠TUV = 75° and m∠MNO = (5x)°. Find the value of x and the measure of ∠MNO. Show your work.

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:Angle MNO=105°

x=21°

Step-by-step explanation:Angle MNO+Angle TUV=180°

75+5x=180°

5x=105°

x=21°

Angle MNO=105°

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Given m||n, find the value of x. (4x-7) degrees (3x+9) degrees It's transversal problems with equations Can anyone help please

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Answer:

See explanation

Step-by-step explanation:

Given

$\angle 1 = 4x - 7$

$\angle 2 = 3x + 9$

Required

Find x

The question is incomplete, as the relationship between both angles is not given

(1) If they are supplementary, then

$\angle 1 + \angle 2 = 180$

$3x + 9 + 4x - 7 = 180$

Collect like terms

$3x + 4x = 180+7-9$

$7x = 178$

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(2) If they are complementary, then

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Collect like terms

$3x + 4x = 90+7-9$

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