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Answers
Answer:
measure of angle DQY = 75°
measure of angle BPQ = 75° ----( corresponding angles are congruent)
angle
CQP = angle YQD = 75 ° ( opposite angle)
angle APQ + angle CQP =180 ( interior angle are supplementary)
APQ + 75 =180
APQ = 180 - 75
APQ = 105
APQ = DQP = 105° ( interior Alternate angle)
APX = YQD = 75° ( Alternate angle)
CQY + DQY = 180
CQY +75° = 180°
CQY = 105°
CQY = BPX = 105° ( Alternate angle).
Answer:
∠1 = ∠APX = 75°
∠2 = ∠BPX = 105°
∠3 = ∠BPQ = 75°
∠4 = ∠APQ = 105°
∠5 = ∠DQP = 105°
∠6 = ∠CQP = 75°
∠7 = ∠CQY = 105°
∠8 = ∠DQY = 75°
Step-by-step explanation:
Here is your answer my sister ❤️ !
Here we are given only one angle that is ∠DQY = 75°.
We need to find all the angles.
Let's us name the angles by NUMBER.
So ∠8 (∠DQY) = 75°
1. ∠7
∠7 + ∠8 = 180° [Straight Line]
⇒ ∠7 + 75° = 180°
⇒ ∠7 = 180° - 75°
⇒ ∠7 = 105°
2. ∠5
∠5 = ∠7 [Vertically Opposite Angles]
⇒ ∠5 = 105°
3. ∠6
∠6 = ∠8 [Vertically Opposite Angles]
⇒ ∠6 = 75°
4. ∠2
∠2 = ∠5 [Corresponding Angles]
⇒ ∠2 = 105°
5. ∠1
∠1 = ∠6 [Corresponding Angles]
⇒ ∠1 = 75°
6. ∠3
∠3 = ∠1 [Vertically Opposite Angles]
⇒ ∠3 = 75°
7. ∠4
∠4 = ∠2 [Vertically Opposite Angles]
⇒ ∠4 = 105°
Now
∠1 = ∠APX = 75°
∠2 = ∠BPX = 105°
∠3 = ∠BPQ = 75°
∠4 = ∠APQ = 105°
∠5 = ∠DQP = 105°
∠6 = ∠CQP = 75°
∠7 = ∠CQY = 105°
∠8 = ∠DQY = 75°
