One angle of a parallelogram measures 35°. What are the measures of the other three angles in the parallelogram?
Answers
Answer:
The oposite angles of a parallelogram are equal (intersection of 2 parallel lines. Then two angles are 35 deg.The other two angles are equal we note them x The sum of angles of a parallelogram is 360deg. Then x+x+35+35=360
2x=360-70 2x=290 x=145 The other 2 angles are 145 deg each...
Step-by-step explanation:
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hey your answer is :-
< 1 = <3 (opposite angle of parallelogram are equal )
<2 = <4 (opposite angle of parallelogram are equal )
Hence,
< 1 = 35°
< 3 = 35°
let the angle 2 and 4 be x..
Now,
<1 + <2 + <3 + <4 = 360°(sum of all angles =360°)
35°+ x + 35° + x = 360°
2x = 360 - 70
x = 290/2
x = 145....
< 1 = 35° , <2 = 145°
< 3 = 35° , <4 =145°
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