Math, asked by tarunkambia, 1 year ago

if angle3=135°, then the value of angle 1+ angle 4 is​

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Answered by QuickSilver04
41

\huge{\mathfrak{\blue{\underline{Answer}}}}

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

\huge{\mathfrak{\blue{\underline{90degree}}}}

Answered by syed2020ashaels
1

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°.

# spj2

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