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Question3 ⇒Visiting the properties of a parallelogram one of them states that opposite angles of a parallelogram are equal.

Opposite angle n this case of a parallelogram are ∠R and ∠T

∠S and ∠Q

⇒This means that: ∠R since opposite ∠T they are equal

⇒∠S since opposite ∠Q they are equal

If ∠T =135° and we know that ∠T=∠R ∴∠R=135° too

⇒One of the properties of a parallelogram states that two pairs of opposite sides are parallel In this Case VW║UX and VU║WX

If so analyzing the diagram(shape) we find that m∠V is co-interior with m∠U by reason VW║UX this means

⇒ m∠V+ m∠U=180°

Given that m∠U=80° substitute in the equation above and solve for m∠V

m∠V+80°=180°

m∠V=180°-80°

m∠V=100°

User Yfsx
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