if angle3=135°, then the value of angle 1+ angle 4 is
Answers
Angle(3)=angle(2) { Vertically opposite angle }
Angle(2)=135degree
angle(1)+angle(2)=180degree (linear pair)
135+angle(1)=180
angles(1)=180-135
angle(1)=45degree
angle(1)=angle(4) {vertically opposite angle}
✏ Then
=Angle(1)+Angle(4)
= (45+45)degree
The given question is if angle 3=135°, then the value of angle 1+ angle 4 is
It is given that in the given figure the angle 3 is 135°.
we have to find the value of the angle 1 + angle 3.
step 1: The angle of a straight line is 90°
Angle 3 and angle 1 are in a straight line.
Angle 2 and angle 4 are in a straight line.
Angel 1 + Angle 3 =180°
Angel 2 + Angle 4 = 180°.
The angle 3 is given as 135° Then the angle 1 will be
135°+angle 1 = 180°.
angle 1 = 180° - 135°.
angle 1 = 45°
angle 2 and angle 3 will be equal as well as angle 1 and angle 4 are equal.
angle 4 is 45°
It is also obtained by angle 2 + angle 4 = 180°
angle 4 = 180° - angle 2.
angle 4 = 180° - 135°
angle 4 = 45°.
The sum of angle 1 and angle 4 is 45° + 45° = 90°.
Therefore, the final answer is 90°.
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