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3 years ago

Please do number 3___________________

Mathematics

1 answer:

Alexandra [31]3 years ago

4 0

9514 1404 393

Answer:

m∠SVW = 80°

Step-by-step explanation:

3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.

4x + 5x = 180

9x = 180 . . . . . . . . collect terms

x = 20 . . . . . . . . . . divide by 9

m∠SVW = 4x° = 4(20)°

m∠SVW = 80°

_____

4. Then m∠VWT = 180° -80° = 100° = 5x°.

5. Consecutive interior angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)

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