find the measure of the unknown angle
Attachments:
Answers
Answered by
34
Answer:
- 36°.
Step-by-step explanation:
Given:
› AB∥CD
To find:
› ∠p
Construction:
Through O, draw EF∥AB.
Solution:
› Since EF∥AB, AO is a transversal.
∠BAO + ∠AOF = 180°
- [∵ Co-interior angles]
⇒ 59° + ∠AOF = 180°
∴ ∠AOF = 121°
Now,
∠AOF + ∠FOC = 265°
- [∵ Given in figure]
⇒ 121° + ∠FOC = 265°
∴ ∠FOC = 144°
› Since EF∥CD, OC is a transversal.
∠FOC + ∠OCD = 180°
- [∵ Co-interior angles]
⇒ 144° + ∠OCD = 180°
∴ ∠OCD (p) = 36°
∴ The measure of the unknown angle (p) is 36°.
Attachments:
Similar questions
Math,
3 days ago
English,
3 days ago
Computer Science,
3 days ago
Science,
6 days ago
Social Sciences,
6 days ago
Social Sciences,
8 months ago
Math,
8 months ago
Math,
8 months ago