let angle abc = x
120+160+90+90+x = 540
460+x = 540
x = 540-460
x= 80
angle abc is equal to 80 degree
here is your answer hope it will help you
∠OAB = 120°, ∠BCD = 160°
Measurement of ∠ABC
Let ∠ABQ be x
And ∠CBQ be y
Construction: Draw a line PQ parallel to line AO, through point B.
Now,
∠OAB + ∠ABQ = 180° [Linear pair]
120° + x = 180°
x = 180° - 120° = 60°
∠ABQ = 60°
Then,
∠BCD + ∠CBQ = 180° [Linear pair]
160° + y = 180°
y = 180° - 160° = 20°
∠CBQ = 20°
∠ABQ + ∠CBQ = ∠ABC
60° + 20° = ∠ABC
∠ABC = 80°
___________________________
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Answers & Comments
let angle abc = x
120+160+90+90+x = 540
460+x = 540
x = 540-460
x= 80
angle abc is equal to 80 degree
here is your answer hope it will help you
Verified answer
GIVEN :
∠OAB = 120°, ∠BCD = 160°
WE NEED TO FIND :
Measurement of ∠ABC
ANSWER :
Let ∠ABQ be x
And ∠CBQ be y
Construction: Draw a line PQ parallel to line AO, through point B.
Now,
∠OAB + ∠ABQ = 180° [Linear pair]
120° + x = 180°
x = 180° - 120° = 60°
∠ABQ = 60°
Then,
∠BCD + ∠CBQ = 180° [Linear pair]
160° + y = 180°
y = 180° - 160° = 20°
∠CBQ = 20°
∠ABQ + ∠CBQ = ∠ABC
60° + 20° = ∠ABC
∠ABC = 80°
___________________________
➡ KEEP LEARNING.