Answer:
1
Step-by-step explanation:
Answer:
This is not an equation. It is an expression, you can't solve for x in an expression
1. /_2 and /_5 are supplementary-----Given
2. /_ 3 ≅ /_2-----Vertical Angles Theorem. Vertical angles are congruent
3. /_3 and /_5 are supplementary-----Transitive Property or Same-side Interior Theorem. If /_2 and /_5 are supplementary then /_3 and /_5 are supplementary
4. l║m----- For lines cut by a traversal and same-side interior angles are supplementary the lines are parallel
Angle A = 130° and Angle B = 110°
Solution:
Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°
If ABCD is a trapezoid, then AB is parallel to CD.
AD is a transversal to AB and CD and
BC is a tranversal to AB ad CD.
Sum of the interior angles on the same side are supplementary.
∠A + ∠D = 180°
⇒ ∠A + 50° = 180°
Subtract 50° on both sides to equal the expression.
⇒ ∠A = 180° – 50°
⇒ ∠A = 130°
Similary, ∠B + ∠C = 180°
⇒ ∠B + 70° = 180°
Subtract 50° on both sides to equal the expression.
⇒ ∠B = 180° – 70°
⇒ ∠B = 110°
Hence, angle A = 130° and angle B = 110°.