In Fig. 8.61, lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF, ∠DOE and ∠BOF.
Attachments:
Answers
Answered by
9
Step-by-step explanation:
I hope that you will understand the answer
Attachments:
Answered by
7
Given : lines AB, CD and EF intersect at O.
From the figure :
∠AOE = 40° and ∠BOD = 35°
∠AOE + ∠EOB = 180o (Linear pair)
∠AOE + ∠DOE + ∠BOD = 180°
40° + ∠DOE + 35° = 180°
75° + ∠DOE = 180°
∠DOE = 180° - 75°
∠DOE = 105°
Now,
∠DOE = ∠COF = 105° (Vertically opposite angle)
∠AOE + ∠AOF = 180° (Linear pair)
40° + ∠AOC + 105° = 180°
145° + ∠AOC = 180°
∠AOC = 180° - 145°
∠AOC = 35°
Also,
∠BOF = ∠AOE = 40° (Vertically opposite angle)
Hence the measures of ∠AOC = 35° ∠COF = ∠DOE = 105° , and ∠BOF = 40° .
HOPE THIS ANSWER WILL HELP YOU…..
Similar questions :
In Fig. 8.57, three coplanar lines intersect at a point O, forming angles as shown in the figure, Find the values of x, y, z and u.
https://brainly.in/question/15905586
In Fig. 8.58, find the values of x, y and z.
https://brainly.in/question/15905594
Similar questions