Y+38°= 180 beacuse if a and b are parallel they are
co interior angles. This means that they will at to 180.
y=180-38= 142°
Answer: 142°
Drew out some hopefully helpful pictures below. Hope they help! let me know if you still have any questions!
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
<u>Step-by-step explanation:</u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
Above mentioned are , are the statements matched with expressions on right hand side (RHS) .
- The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
- The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
Answer:
Step-by-step explanation:
From inspection of the given diagram:
<h3><u>Part (a)</u></h3>
A right angle is 90° and is represented by the ∟ symbol.
To find x, <u>equal</u> the sum of the angles to 90° and solve for x:
<h3><u>Part (b)</u></h3>
To find the degree measure of each angle, substitute the found value of x into the expression for each angle.
I believe the answer is 7 1/9.
The markup is 250%, as you just need to divide 90 by 36 and get 2.5, then the whole number is the hundreds, the tenths are the tens and so on.
