Please do number 3___________________
1 answer:
9514 1404 393
Answer:
m∠SVW = 80°
Step-by-step explanation:
3. The sum of <em>same-side interior</em> 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°
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4. Then m∠VWT = 180° -80° = 100° = 5x°.
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5. <em>Consecutive interior</em> angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)
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